# gsw_kappa_CT_exact

`isentropic compressibility`

## 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`