<description/> <author>mbari 1215</author> <company/> <keywords/> <revisedBy>jon</revisedBy> </userData> <identityInfo> <revision>11</revision> <documentID>357DCCC3-8FB2-42CD-ABD9-C37DBEE3A237</documentID> <versionID>284A249A-FEDC-4348-BC0B-CC95D64869E4</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="small" definition="colon-equal" 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z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Contained Burn of #18650 Lithium Ion Batteries & Containment Vessel Pressure & Volume. 10/24/13 </text> </region> <region region-id="242" left="18" top="60.75" width="486.75" height="13.5" align-x="18" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="TTE1B308C0t00" charset="0">?)</f> </text> </region> <region region-id="1" left="6" top="138.75" width="75" height="14.25" align-x="6" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> REQUIRED:<sp count="5"/> </text> </region> <region region-id="215" left="96" top="138.75" width="412.5" height="28.5" align-x="96" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Find the volume of expelled gas & resultant pressure for the assumed Pressure Vessel (PV). After Thermally Burning 1,2,3 #18650 Cells.<sp count="2"/> </text> </region> <region region-id="3" left="6" top="180.75" width="44.25" height="14.25" align-x="6" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> GIVEN:<sp count="2"/> </text> </region> <region region-id="306" left="96" top="180.75" width="234.75" height="14.25" align-x="114" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Assumed PV:<sp count="2"/>Inside Dia. 6.0 inch Schd 80 Pipe.<sp count="4"/> </text> </region> <region region-id="314" left="96" top="200.25" width="60" height="13.5" align-x="110.25" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:mult/> <ml:real>146.4</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="400" left="420" top="198.75" width="81" height="45" align-x="462" align-y="216" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>25.4</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5.7637795275590564</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="2"/> </region> <region region-id="315" left="96" top="224.25" width="51.75" height="13.5" align-x="108.75" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult/> <ml:real>408</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="401" left="264" top="228.75" width="87.75" height="45" align-x="308.25" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult/> <ml:real>25.4</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>16.062992125984255</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="4"/> </region> <region region-id="308" left="96" top="246.75" width="163.5" height="14.25" align-x="98.25" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> n = number of moles of Ideal Gas<sp count="4"/> </text> </region> <region region-id="310" left="96" top="270.75" width="390.75" height="14.25" align-x="97.5" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> 1 Batt. gas evoled = 2.54 Liters (0.00254 cubic meters)<sp count="2"/>at STP (0 deg. C and 1 atm<sp count="2"/> </text> </region> <region region-id="9" left="6" top="312.75" width="72.75" height="14.25" align-x="6" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> ASSUME: </text> </region> <region region-id="258" left="6" top="360.75" width="93.75" height="14.25" align-x="6" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> SOLUTION: </text> </region> <region region-id="312" left="6" top="384.75" width="133.5" height="14.25" align-x="6" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Volume of Pressure Vessel:<sp count="4"/> </text> </region> <region region-id="313" left="156" top="378.75" width="78.75" height="29.25" align-x="184.5" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="vol">PV</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:id xml:space="preserve">D</ml:id> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="316" left="366" top="382.5" width="114" height="19.5" align-x="393" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="vol">PV</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.0068680302274297571</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="6"/> </region> <region region-id="318" left="6" top="414.75" width="341.25" height="14.25" align-x="6" align-y="426" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Number of moles of Ideal Gas in this PV volume @ 20 deg. C and 1 atm:<sp count="3"/> </text> </region> <region region-id="320" left="6" top="432.75" width="42" height="14.25" align-x="6" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Where:<sp count="3"/> </text> </region> <region region-id="322" left="78" top="434.25" width="62.25" height="13.5" align-x="90.75" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <ml:apply> <ml:mult/> <ml:real font="0">101325</ml:real> <ml:id xml:space="preserve">Pa</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="323" left="78" top="450.75" width="96.75" height="29.25" align-x="91.5" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">R</ml:id> <ml:apply> <ml:mult/> <ml:real>8.3144621</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">mole</ml:id> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="324" left="78" top="494.25" width="73.5" height="13.5" align-x="91.5" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">T</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real font="0">273</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="326" left="192" top="494.25" width="43.5" height="13.5" align-x="204" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">K</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>293</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kelvin"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="10"/> </region> <region region-id="327" left="6" top="528.75" width="99" height="14.25" align-x="6" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Where P*V=n*R*T<sp count="2"/> </text> </region> <region region-id="329" left="6" top="550.5" width="54.75" height="31.5" align-x="18" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">n</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve" subscript="vol">PV</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="330" left="126" top="560.25" width="75" height="13.5" align-x="136.5" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">n</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mole</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.28565842145722758</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="mole"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="12"/> </region> <region region-id="332" left="6" top="594.75" width="483" height="14.25" align-x="22.5" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Number of moles of gas generated at STP per each battery where the evolved gas volume is .00254 m^3.<sp count="2"/> </text> </region> <region region-id="334" left="6" top="612.75" width="30.75" height="14.25" align-x="6" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Then:<sp count="2"/> </text> </region> <region region-id="335" left="54" top="610.5" width="64.5" height="19.5" align-x="71.25" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">V</ml:id> <ml:apply> <ml:mult/> <ml:real>.00254</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="336" left="156" top="614.25" width="44.25" height="15.75" align-x="173.25" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">V</ml:id> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="1">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="337" left="240" top="614.25" width="44.25" height="15.75" align-x="257.25" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">V</ml:id> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve" subscript="1">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="333" left="6" top="658.5" width="61.5" height="31.5" align-x="21.75" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">n</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve" subscript="1">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R</ml:id> <ml:real>273</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="338" left="366" top="668.25" width="78" height="15.75" align-x="380.25" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">n</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.11338445685268915</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="mole"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="17"/> </region> <region region-id="339" left="6" top="706.5" width="61.5" height="31.5" align-x="21.75" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">n</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve" subscript="2">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R</ml:id> <ml:real>273</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="340" left="366" top="716.25" width="78" height="15.75" align-x="380.25" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">n</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.2267689137053783</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="mole"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="19"/> </region> <region region-id="341" left="6" top="748.5" width="61.5" height="31.5" align-x="21.75" align-y="768" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">n</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve" subscript="3">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R</ml:id> <ml:real>273</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="342" left="366" top="758.25" width="78" height="15.75" align-x="380.25" align-y="768" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">n</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.34015337055806744</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="mole"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="21"/> </region> <region region-id="344" left="6" top="810.75" width="311.25" height="14.25" align-x="28.5" align-y="822" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Equilibrium tempurature of mixed gas. (before cooling @ 733 deg C) </text> </region> <region region-id="346" left="6" top="844.5" width="156" height="33.75" align-x="25.5" align-y="864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">T'</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">n</ml:id> <ml:real>293</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">n</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>733</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>273</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve" subscript="1">n</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="347" left="366" top="854.25" width="69.75" height="15.75" align-x="384" align-y="864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">T'</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>495.59255867030038</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kelvin"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="398" left="540" top="854.25" width="105.75" height="15.75" align-x="594" align-y="864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="1">T'</ml:id> <ml:apply> <ml:mult/> <ml:real>273</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>222.59255867030038</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kelvin"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="348" left="6" top="910.5" width="156" height="33.75" align-x="25.5" align-y="930" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">T'</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">n</ml:id> <ml:real>273</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="2">n</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>733</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>273</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve" subscript="2">n</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="351" left="366" top="920.25" width="69.75" height="15.75" align-x="384" align-y="930" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">T'</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>597.38084844419177</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kelvin"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="352" left="6" top="970.5" width="156" height="33.75" align-x="25.5" align-y="990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">T'</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">n</ml:id> <ml:real>273</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="3">n</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>733</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>273</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve" subscript="3">n</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="353" left="366" top="980.25" width="69.75" height="15.75" align-x="384" align-y="990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">T'</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>671.41438560328322</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kelvin"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="355" left="6" top="1038.75" width="286.5" height="14.25" align-x="14.25" align-y="1050" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Find the absolute pressure of the mixed gases in the PV at T`<sp count="4"/> </text> </region> <region region-id="356" left="6" top="1078.5" width="88.5" height="33.75" align-x="22.5" align-y="1098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve" subscript="1">n</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1">T'</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="vol">PV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="377" left="300" top="1084.5" width="94.5" height="19.5" align-x="315" align-y="1098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">Pa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>239412.21313695662</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="30"/> </region> <region region-id="378" left="300" top="1112.25" width="62.25" height="15.75" align-x="315" align-y="1122" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>34.723805778366867</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="388" left="438" top="1110.75" width="37.5" height="14.25" align-x="438" align-y="1122" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> absolute </text> </region> <region region-id="379" left="300" top="1136.25" width="118.5" height="15.75" align-x="371.25" align-y="1146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="1">P</ml:id> <ml:apply> <ml:mult/> <ml:real>14.6959</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>20.027905778366865</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="392" left="438" top="1134.75" width="26.25" height="14.25" align-x="438" align-y="1146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> gauge </text> </region> <region region-id="365" left="6" top="1174.5" width="88.5" height="33.75" align-x="22.5" align-y="1194" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve" subscript="2">n</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="2">T'</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="vol">PV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="380" left="300" top="1180.5" width="94.5" height="19.5" align-x="315" align-y="1194" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">Pa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>370583.04402135365</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="34"/> </region> <region region-id="381" left="300" top="1208.25" width="62.25" height="15.75" align-x="315" align-y="1218" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>53.748526346031674</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="387" left="438" top="1206.75" width="37.5" height="14.25" align-x="438" align-y="1218" 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Mathcad Professional 14.0 <description/> <author>mbari 1215</author> <company/> <keywords/> <revisedBy>jon</revisedBy> </userData> <identityInfo> <revision>11</revision> <documentID>357DCCC3-8FB2-42CD-ABD9-C37DBEE3A237</documentID> <versionID>284A249A-FEDC-4348-BC0B-CC95D64869E4</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" 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automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="us" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="402" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="238" left="72" top="6.75" width="369.75" height="42.75" align-x="72" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Contained Burn of #18650 Lithium Ion Batteries & Containment Vessel Pressure & Volume. 10/24/13 </text> </region> <region region-id="242" left="18" top="60.75" width="486.75" height="13.5" align-x="18" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="TTE1B308C0t00" charset="0">?)</f> </text> </region> <region region-id="1" left="6" top="138.75" width="75" height="14.25" align-x="6" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> REQUIRED:<sp count="5"/> </text> </region> <region region-id="215" left="96" top="138.75" width="412.5" height="28.5" align-x="96" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Find the volume of expelled gas & resultant pressure for the assumed Pressure Vessel (PV). After Thermally Burning 1,2,3 #18650 Cells.<sp count="2"/> </text> </region> <region region-id="3" left="6" top="180.75" width="44.25" height="14.25" align-x="6" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> GIVEN:<sp count="2"/> </text> </region> <region region-id="306" left="96" top="180.75" width="234.75" height="14.25" align-x="114" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Assumed PV:<sp count="2"/>Inside Dia. 6.0 inch Schd 80 Pipe.<sp count="4"/> </text> </region> <region region-id="314" left="96" top="200.25" width="60" height="13.5" align-x="110.25" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:mult/> <ml:real>146.4</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="400" left="420" top="198.75" width="81" height="45" align-x="462" align-y="216" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>25.4</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5.7637795275590564</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="2"/> </region> <region region-id="315" left="96" top="224.25" width="51.75" height="13.5" align-x="108.75" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult/> <ml:real>408</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="401" left="264" top="228.75" width="87.75" height="45" align-x="308.25" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult/> <ml:real>25.4</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>16.062992125984255</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="4"/> </region> <region region-id="308" left="96" top="246.75" width="163.5" height="14.25" align-x="98.25" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> n = number of moles of Ideal Gas<sp count="4"/> </text> </region> <region region-id="310" left="96" top="270.75" width="390.75" height="14.25" align-x="97.5" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> 1 Batt. gas evoled = 2.54 Liters (0.00254 cubic meters)<sp count="2"/>at STP (0 deg. C and 1 atm<sp count="2"/> </text> </region> <region region-id="9" left="6" top="312.75" width="72.75" height="14.25" align-x="6" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> ASSUME: </text> </region> <region region-id="258" left="6" top="360.75" width="93.75" height="14.25" align-x="6" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> SOLUTION: </text> </region> <region region-id="312" left="6" top="384.75" width="133.5" height="14.25" align-x="6" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Volume of Pressure Vessel:<sp count="4"/> </text> </region> <region region-id="313" left="156" top="378.75" width="78.75" height="29.25" align-x="184.5" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="vol">PV</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:id xml:space="preserve">D</ml:id> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="316" left="366" top="382.5" width="114" height="19.5" align-x="393" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="vol">PV</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.0068680302274297571</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="6"/> </region> <region region-id="318" left="6" top="414.75" width="341.25" height="14.25" align-x="6" align-y="426" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Number of moles of Ideal Gas in this PV volume @ 20 deg. C and 1 atm:<sp count="3"/> </text> </region> <region region-id="320" left="6" top="432.75" width="42" height="14.25" align-x="6" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Where:<sp count="3"/> </text> </region> <region region-id="322" left="78" top="434.25" width="62.25" height="13.5" align-x="90.75" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <ml:apply> <ml:mult/> <ml:real font="0">101325</ml:real> <ml:id xml:space="preserve">Pa</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="323" left="78" top="450.75" width="96.75" height="29.25" align-x="91.5" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">R</ml:id> <ml:apply> <ml:mult/> <ml:real>8.3144621</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">mole</ml:id> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="324" left="78" top="494.25" width="73.5" height="13.5" align-x="91.5" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">T</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real font="0">273</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="326" left="192" top="494.25" width="43.5" height="13.5" align-x="204" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">K</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>293</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kelvin"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="10"/> </region> <region region-id="327" left="6" top="528.75" width="99" height="14.25" align-x="6" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Where P*V=n*R*T<sp count="2"/> </text> </region> <region region-id="329" left="6" top="550.5" width="54.75" height="31.5" align-x="18" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">n</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve" subscript="vol">PV</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="330" left="126" top="560.25" width="75" height="13.5" align-x="136.5" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">n</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mole</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.28565842145722758</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="mole"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="12"/> </region> <region region-id="332" left="6" top="594.75" width="483" height="14.25" align-x="22.5" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Number of moles of gas generated at STP per each battery where the evolved gas volume is .00254 m^3.<sp count="2"/> </text> </region> <region region-id="334" left="6" top="612.75" width="30.75" height="14.25" align-x="6" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Then:<sp count="2"/> </text> </region> <region region-id="335" left="54" top="610.5" width="64.5" height="19.5" align-x="71.25" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">V</ml:id> <ml:apply> <ml:mult/> <ml:real>.00254</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="336" left="156" top="614.25" width="44.25" height="15.75" align-x="173.25" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">V</ml:id> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="1">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="337" left="240" top="614.25" width="44.25" height="15.75" align-x="257.25" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">V</ml:id> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve" subscript="1">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="333" left="6" top="658.5" width="61.5" height="31.5" align-x="21.75" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">n</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve" subscript="1">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R</ml:id> <ml:real>273</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="338" left="366" top="668.25" width="78" height="15.75" align-x="380.25" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">n</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.11338445685268915</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="mole"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="17"/> </region> <region region-id="339" left="6" top="706.5" width="61.5" height="31.5" align-x="21.75" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">n</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve" subscript="2">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R</ml:id> <ml:real>273</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="340" left="366" top="716.25" width="78" height="15.75" align-x="380.25" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">n</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.2267689137053783</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="mole"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="19"/> </region> <region region-id="341" left="6" top="748.5" width="61.5" height="31.5" align-x="21.75" align-y="768" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">n</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve" subscript="3">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R</ml:id> <ml:real>273</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="342" left="366" top="758.25" width="78" height="15.75" align-x="380.25" align-y="768" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">n</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.34015337055806744</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="mole"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="21"/> </region> <region region-id="344" left="6" top="810.75" width="311.25" height="14.25" align-x="28.5" align-y="822" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Equilibrium tempurature of mixed gas. (before cooling @ 733 deg C) </text> </region> <region region-id="346" left="6" top="844.5" width="156" height="33.75" align-x="25.5" align-y="864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">T'</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">n</ml:id> <ml:real>293</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">n</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>733</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>273</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve" subscript="1">n</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="347" left="366" top="854.25" width="69.75" height="15.75" align-x="384" align-y="864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">T'</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>495.59255867030038</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kelvin"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="398" left="540" top="854.25" width="105.75" height="15.75" align-x="594" align-y="864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="1">T'</ml:id> <ml:apply> <ml:mult/> <ml:real>273</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>222.59255867030038</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kelvin"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="348" left="6" top="910.5" width="156" height="33.75" align-x="25.5" align-y="930" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">T'</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">n</ml:id> <ml:real>273</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="2">n</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>733</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>273</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve" subscript="2">n</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="351" left="366" top="920.25" width="69.75" height="15.75" align-x="384" align-y="930" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">T'</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>597.38084844419177</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kelvin"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="352" left="6" top="970.5" width="156" height="33.75" align-x="25.5" align-y="990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">T'</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">n</ml:id> <ml:real>273</ml:real> </ml:apply> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="3">n</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>733</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>273</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve" subscript="3">n</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="353" left="366" top="980.25" width="69.75" height="15.75" align-x="384" align-y="990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">T'</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>671.41438560328322</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kelvin"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="355" left="6" top="1038.75" width="286.5" height="14.25" align-x="14.25" align-y="1050" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Find the absolute pressure of the mixed gases in the PV at T`<sp count="4"/> </text> </region> <region region-id="356" left="6" top="1078.5" width="88.5" height="33.75" align-x="22.5" align-y="1098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve" subscript="1">n</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1">T'</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="vol">PV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="377" left="300" top="1084.5" width="94.5" height="19.5" align-x="315" align-y="1098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">Pa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>239412.21313695662</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="30"/> </region> <region region-id="378" left="300" top="1112.25" width="62.25" height="15.75" align-x="315" align-y="1122" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>34.723805778366867</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="388" left="438" top="1110.75" width="37.5" height="14.25" align-x="438" align-y="1122" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> absolute </text> </region> <region region-id="379" left="300" top="1136.25" width="118.5" height="15.75" align-x="371.25" align-y="1146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="1">P</ml:id> <ml:apply> <ml:mult/> <ml:real>14.6959</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>20.027905778366865</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="392" left="438" top="1134.75" width="26.25" height="14.25" align-x="438" align-y="1146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> gauge </text> </region> <region region-id="365" left="6" top="1174.5" width="88.5" height="33.75" align-x="22.5" align-y="1194" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve" subscript="2">n</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="2">T'</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="vol">PV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="380" left="300" top="1180.5" width="94.5" height="19.5" align-x="315" align-y="1194" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">Pa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>370583.04402135365</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="34"/> </region> <region region-id="381" left="300" top="1208.25" width="62.25" height="15.75" align-x="315" align-y="1218" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>53.748526346031674</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="387" left="438" top="1206.75" width="37.5" height="14.25" align-x="438" align-y="1218" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> absolute </text> </region> <region region-id="382" left="300" top="1232.25" width="118.5" height="15.75" align-x="371.25" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="2">P</ml:id> <ml:apply> <ml:mult/> <ml:real>14.6959</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>39.052626346031673</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="391" left="438" top="1230.75" width="26.25" height="14.25" align-x="438" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> gauge </text> </region> <region region-id="373" left="6" top="1276.5" width="88.5" height="33.75" align-x="22.5" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve" subscript="3">n</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">T'</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="vol">PV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="383" left="300" top="1282.5" width="94.5" height="19.5" align-x="315" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">Pa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>508670.25715831021</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="6" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="38"/> </region> <region region-id="384" left="300" top="1310.25" width="62.25" height="15.75" align-x="315" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>73.776383348885076</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="39"/> </region> <region region-id="389" left="438" top="1308.75" width="37.5" height="14.25" align-x="438" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> absolute </text> </region> <region region-id="385" left="300" top="1334.25" width="114" height="15.75" align-x="371.25" align-y="1344" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="3">P</ml:id> <ml:apply> 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