Consider a plot of H, the heat of solution based on 1 mol of solute (species 1),

Consider a plot of Δ̃H̃, the heat of solution based on 1 mol of solute (species 1), vs. ñ, the moles of solvent per mole of solute, at constant T and P. Figure 11.4 is an example of such a plot, except that the plot considered here has a linear rather than logarithmic scale along the abscissa. Let a tangent drawn to the Δ̃H̃ vs. ñ curve intercept the ordinate at point I.
(a) Prove that the slope of the tangent at a particular point is equal to the partial excess enthalpy of the solvent in a solution with the composition represented by  ; i.e., prove that:

(b) Prove that the intercept I equals the partial excess enthalpy of the solute in the same solution; i.e., prove that:

Figure 11.4

Transcribed Image Text:

dΔΗ = AE %3D