$($c$)$ Determine the vapor pressure of pure benzene at $300$ K$,350$ K$,400$ K$,450$ K and $500$ K using

only the Peng$-$Robinson equation of state. For iterations, use a convergence criterion of $105$

for

the iteration error. Next, use the Antoine equation to predict P

vap at these temperatures, and

generate a plot comparing the predictions from the PR EOS and the Antoine equation. How do the

predictions of P

vap obtained from each method compare for each of these temperatures