# gsw_kappa_CT_exact

    isentropic compressibility

## Contents

- USAGE:
- DESCRIPTION:
- INPUT:
- OUTPUT:
- EXAMPLE:
- AUTHOR:
- VERSION NUMBER:
- REFERENCES:

## USAGE:

    kappa_CT_exact = gsw_kappa_CT_exact(SA,CT,p)

## DESCRIPTION:

    Calculates the isentropic compressibility of seawater.

    Note that this function uses the full Gibbs function.  There is an
    alternative to calling this function, namely gsw_kappa(SA,CT,p),
    which uses the computationally efficient 75-term expression for specific
    volume in terms of SA, CT and p (Roquet et al., 2015).

    Click for a more detailed description of isentropic
    compressibility.

## INPUT:

    SA  =  Absolute Salinity                                        [ g/kg ]
    CT  =  Conservative Temperature (ITS-90)                       [ deg C ]
    p   =  sea pressure                                             [ dbar ]
            ( ie. absolute pressure - 10.1325 dbar )

    SA & CT need to have the same dimensions.
    p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA & CT are MxN.

## OUTPUT:

    kappa_CT_exact  =  Isentropic compressibility                   [ 1/Pa ]
     Note. The output units are 1/Pa not 1/dbar.

## EXAMPLE:

    SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
    CT =  [28.7856; 28.4329; 22.8103; 10.2600;  6.8863;  4.4036;]
    p =  [     10;      50;     125;     250;     600;    1000;]

    kappa_CT_exact = gsw_kappa_CT_exact(SA,CT,p)

    kappa_CT_exact =

    1.0e-009 *

       0.411270246802426
       0.411035509242423
       0.416508906214161
       0.435600228143483
       0.438791008004861
       0.439844007211844

## AUTHOR:

    Trevor McDougall and Paul Barker   [ help@teos-10.org ]

## VERSION NUMBER:

    3.05 (16th February, 2015)

## REFERENCES:

    IOC, SCOR and IAPSO, 2010: The international thermodynamic equation of
     seawater - 2010: Calculation and use of thermodynamic properties.
     Intergovernmental Oceanographic Commission, Manuals and Guides No. 56,
     UNESCO (English), 196 pp.  Available from the TEOS-10 web site.
      See Eqns. (2.16.1) and the row for kappa in Table P.1 of appendix P
      of this TEOS-10 Manual.

    Roquet, F., G. Madec, T.J. McDougall, P.M. Barker, 2015: Accurate
     polynomial expressions for the density and specifc volume of seawater
     using the TEOS-10 standard. Ocean Modelling.

    The software is available from http://www.TEOS-10.org