Please compute code for the following problem:

The Antoine Equation is an empirical relationship commonly used to compute the vapor pressure,

P

vap$($T$)$ of different components.

lnP

vap $=$ A $$

B

T $+$C

where P

vap is given in kPa and T is given in K$.$ The parameters for benzene are A $=13\mathrm{.}7819,$ B $=$

$2726\mathrm{.}81,$ C $=55\mathrm{.}578.$

The vapor pressure can also be computed using the generalized Peng$-$Robinson equation of state. Properties of benzene can be obtained from Table $6\mathrm{.}6-1.$

$($a$)$ Using the generalized Peng$-$Robinson equation of state and the critical parameters for benzene,

generate plots of P vs V for $400$ K$,450$ K$,500$K$,550$K and $600$K$.$ Using these graphs, what is the

approximate location of the critical temperature? Explain your choice. Be sure to label your axis

$($with appropriate units$).$