Applications of Mathematics in Chemistry–II

Mathematics is widely used in chemistry as well as all other sciences. Mathematical calculations are absolutely necessary to explore important concepts in chemistry. Without some basic mathematical skills, these calculations, and therefore chemistry itself will be extremely difficult. In the present paper mathematical equations in excess volumes and thermodynamic transfer properties are discussed Experimental excess volume results are analyzed in the light of the Prigogine Flory Patterson theory. Theory divide excess volume value into three contributions. The interactional contribution, V^˜ curvature contribution and P^* contribution. All these three contributions are calculated mathematically. In thermodynamic Studies of electrolytes in aqueous solutions from electromotive force measurements are discussed. From electromotive force values of a cell E^θ_m and activity coefficient λ± are calculated by mathematical equations. The values of λ± give idea about solute solvent interactions. Then Gibbs free energy of transfer, ΔG^θ_t, for electrolyte from water to aqueous solution are calculated from mathematical equations and results are interpreted in terms of spontaneous process for transfer of electrolyte and comparison of Basic character of water and aqueous solutions. Further By mathematical calculations ΔG^θ_t is divided into two parts ΔG^θ_t,el, and ΔG^θ_t,ch.