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# Copyright (C) 2008 Jean-Pierre Gattuso and Jean-Marie Epitalon and Heloise Lavigne and Aurelien Proye
#
# This file is part of seacarb.
#
# Seacarb is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version.
#
# Seacarb is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License along with seacarb; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
#
#
"K0" <-
function(S=35,T=25,P=0,Patm=1,warn="y"){
nK <- max(length(S), length(T), length(P), length(Patm))
##-------- Creation de vecteur pour toutes les entrees (si vectorielles)
if(length(S)!=nK){S <- rep(S[1], nK)}
if(length(T)!=nK){T <- rep(T[1], nK)}
if(length(P)!=nK){P <- rep(P[1], nK)}
if(length(Patm)!=nK){Patm <- rep(Patm[1], nK)}
#-------Constantes----------------
#---- issues de equic----
tk = 273.15; # [K] (for conversion [deg C] <-> [K])
TK = T + tk; # T[K] (absolute temperature)
#---------------------------------------------------------------------
#---------------------- K0 (K Henry) ---------------------------------
#
# CO2(g) <-> CO2(aq.)
# K0 = [CO2]/ p CO2
#
# Weiss (1974) [mol/kg/atm]
#
#
tmp = 9345.17 / TK - 60.2409 + 23.3585 * log(TK/100);
nK0we74 = tmp + S*(0.023517-0.00023656*TK+0.0047036e-4*TK*TK);
##------------Warnings
is_w <- warn == "y"
if (any (is_w & (T>45 | S>45 | T<(-1))) ) {warning("S and/or T is outside the range of validity of the formulation available for K0 in seacarb.")}
K0= exp(nK0we74);
#---------------------------------------------------------------------
#---------------------- Pressure correction ----------------------------
Phydro_atm = P / 1.01325 # convert hydrostatic pressure from bar to atm (1.01325 bar / atm)
Ptot = Patm + Phydro_atm # total pressure (in atm) = atmospheric pressure + hydrostatic pressure
R = 82.05736 # (cm3 * atm) / (mol * K) CODATA (2006)
vbarCO2 = 32.3 # partial molal volume (cm3 / mol) from Weiss (1974, Appendix, paragraph 3)
K0 = K0 * exp( ((1-Ptot)*vbarCO2)/(R*TK) ) # Weiss (1974, equation 5), TK is absolute temperature (K)
attr(K0,"unit") = "mol/kg"
return(K0)
}
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