Question$4$:

$[6$ marks$]$

$($a$)$ Determine the phase compositions for the methyl acetate $(1)-$ cyclohexane $(2)$ binary system at $64C$ and $68$kPa, assuming Raoult's law is applicable.

$[8$ marks$]$

$($b$)$ The following gas phase reaction $CO(g)+2H_2(g)C{H}_{3}OH(g)$ was conducted at $327C$ and $300$atm with the mole ratio, $1$molCO:$3mol{H}_2.$ The fugacity coefficients are given as $\frac{O}{{?}_{CO}}=0\mathrm{.}90$;$\frac{O}{{?}_{H_2}}=1\mathrm{.}20$ and $\frac{O}{{?}_{C{H}_{3}OH}}=0\mathrm{.}47,$ respectively. The reaction equilibrium constant is given as $0\mathrm{.}91{10}^{-4}.$ The mixture behaves like an ideal solution. Estimate the reaction ordinate $().$ Standard pressure is assumed as $1$atm.

$[14$ marks$]$