
For a single component system at vapor-liquid equilibrium, the extensive variables A, V, S and N denote the Helmholtz free energy, volume, entropy, and number of moles, respectively, in a given phase. If superscripts \( (\nu) \) and \( (\ell) \) denote the vapor and liquid phase, respectively, the relation that is NOT CORRECT is
For a pure substance, the following data at saturated conditions are given:
\[ \begin{array}{c c} \ln P^{sat} \, (\text{bar}) & T \,(\text{K})\\ 0.693 & 350\\ 1.386 & 370 \end{array} \] Assume the vapor behaves ideally, liquid molar volume is negligible, and latent heat of vaporization is constant over this range. The universal gas constant is $R=8.314$ J mol$^{-1}$ K$^{-1}$. From the above data, the estimated latent heat of vaporization at 360 K is \(\underline{\hspace{2cm}}\) kJ/mol (rounded to one decimal place).