$.$ Given the equation of state of a gas, $($Pv$)/($RT$)=1+($BP$)/($RT$)+$ C $*($P$/($RT$))^2$ At $400$ K$,$ B$-0\mathrm{.}00001$ m$^3/$mol and C$-0\mathrm{.}005$ m$^3/$mol$^2,$ calculate the pure state fugacity at P$=0\mathrm{.}01$ MPa and T$-400$ K$.$ Write the steps for calculation of fugacity in the liquid phase. At $400$ K$,$ calculate the fugacity of the given liquid gas at $4$ MPa, if molar liquid volume is $0\mathrm{.}2$ m$^3/$mol