Abstract

The SAFT-VR (statistical associating fluid theory of variable range) equation of state is coupled with MSA (mean spherical approximation) in which molecule-ion and coulombic interactions are embedded. Also, the effect of change in dielectric constant is described by Born term as result of solvation. The SAFT-VR parameters for water and metal sulfates are firstly optimized by the experimental data. After this stage, the solubility of MgSO4 and Al2(SO4)3 in ternary systems, i.e. MgSO4-H2SO4-H2O and Al2(SO4)3-H2SO4-H2O, is obtained at high temperatures. Next, the solubility of MgSO4 is presented in different concentrations of Al2(SO4)3 in the quaternary systems as H2SO4–MgSO4–Al2(SO4)3–H2O. Also, the solubility of the other metal sulfate, namely Al2(SO4)3, is calculated in the presence of MgSO4 in this system at 250 °C. Finally, the results of the Ion-SAFT-VR model for ternary systems are compared with the Pitzer and the E-NRTL models. The results show that the Ion-SAFT-VR model can more accurately predict the solubility of metal sulfates in the studied systems than other models.

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