$10\mathrm{.}2-16$ Based on vapor$-$liquid equilibrium data, some authors have claimed that the benzene $(1)-$ cyclohexane $(2)$ mixture is described by Ge$*=$ A$.$x$112$ where A $($J$/$mol$)=3750-8$T for T in degrees K$.$ a$.$ Derive expressions for the activity coefficients of benzene and cyclohexane. b$.$ Determine the enthalpy and entropy changes on mixing when I mole ofPG$18$ benzene and $2$ moles of $.$cyclohexane are mixed at T $=300$ K and con$-$ stant pressure. c$.$ Given the following vapor pressure data at T $=320$ K$,$ P P $=0\mathrm{.}3203$ bar and PCP $=0\mathrm{.}3218$ bar, determine the bubble pressure of the liquid in part $($b$)$ at T $=320$ K$,$ and the com$-$ position of the vapor in equilibrium with that liquid. s $$ or o as