please provide step by step solution

Evaluate $Z,V,H^{lv},S^{lv}$ for n$-$pentane at $500K$ and $10$ bar if $H$ and $S$ are set equal to

zero for saturated liquid at $0C(273\mathrm{.}15K).$ Assume that the only data available are

$T_C=469\mathrm{.}7K$;$P_C=33\mathrm{.}70$ bar; $T_n=309\mathrm{.}2K$

Hint: Use Lee$/$Kesler equation.

In $P_r^0(T_r)=5\mathrm{.}92714-\frac{6\mathrm{.}09648}{T_r}-1\mathrm{.}28862ln{T}_r+0\mathrm{.}169347T_r^6$

In $P_r^1(T_r)=15\mathrm{.}2518-\frac{15\mathrm{.}6875}{T_r}-13\mathrm{.}47211n{T}_r+0\mathrm{.}43577T_r^6$