## Temperature dependent solubility

### Quick Start

The Ideal and Polymorphs apps don't include activity coefficients or the ability to see values in mg/ml units. This simple app allows you to play with both.

### Credits

This is part of my series of apps trying to wrestle with the complexities of crystallization.

### Solubility and Temperature

MPt °C
ΔHf kJ/mole.K
ΔCp J/mole.K
γ
Tmin
Tmax
MWtsolute
MWtsolvent
ρsolvent g/cc
mg/ml mode
Active

As explained in the other apps, the equation for the solubility x, in mole fraction, at temperature T and with gas constant R is, including an activity coefficient γ, assumed (wrongly) to be temperature-independent is:

ln(x/γ)={ΔH_F(1/T_m-1/T)+ΔC_p[T_m/T – ln(T_m/T)-1]}/R

From the molecular weights of the solute and solvent and the density of the solvent, solubility can be provided as mg/ml for those who prefer such units.