The enthalpy and entropy change of trimerization of gas $\left(3\mathrm{A}\left(\mathrm{g}\right)⟶{\mathrm{A}}_3\left(\mathrm{g}\right)\right)$ in gas phase $300$K at $-100 \mathrm{kJ}/\mathrm{mole}$ and $-400\mathrm{J}/\mathrm{K}\text{ mole }$ respectively. The enthalpy of vapourisation for liquids A and A3 are $25 \mathrm{kJ}/\text{ mole }$and  $50 \mathrm{kJ}/\mathrm{mole}$  respectively. If the boiling points of A and A3 are $300 \mathrm{K}$ and $400 \mathrm{K}$ respectively

Given : ${\mathrm{C}}_{{\mathrm{p}}_{\mathrm{m}}{\mathrm{A}}_3\left(\mathrm{g}\right)}={\mathrm{C}}_{{\mathrm{p}}_{\mathrm{m}}{\mathrm{A}}_3\left(\mathrm{l}\right)}, {\mathrm{d}}_{\mathrm{A}\left(\mathrm{l}\right)}=1.2 \mathrm{g}/\mathrm{ml}$

${\mathrm{d}}_{{\mathrm{A}}_3\left(\mathrm{l}\right)}=1.5 \mathrm{g}/\mathrm{ml}$, molar mass of A = 20 gram

Assume : Density of A₃(l) and A(l) are independent of pressure.