Although the method proposed by Desbiens and co-workers is suitable for pure water, we did not apply it to determine the µ CnAm water (P ) relationship for electrolyte solutions. Although there is no trouble in performing (N,P,T) simulation of electrolyte solutions to obtain the density as a function of pressure, the drawback comes from the (µ CnAm water (P ),V,T) simulations where µ CnAm water (P ) needs to be determined as a function of density. The chemical potential µ CnAm water (P ) as input parameter dictates the evolution of the number of water molecules in the system except that the number of electrolyte units must also varies accordingly to keep a constant electrolyte concentration. In order to adress such issue, we used the NCMC move to compute µ CnAm water (P ) as this method has been successfully applied to calculated µ water (P )