$3\mathrm{.}49.$ Calculate $Z$ and $V$ for nitrogen trifluoride at $300K$ and $95$ bar by the following equations:

$($a$)$ The truncated virial equation $[$Eq$.(3\mathrm{.}38)]$ with the following values of virial coefficients:

$B=-83\mathrm{.}5c{m}^3*mo{l}^{-1},C=-5592c{m}^6*mo{l}^{-2}$

$($b$)$ The truncated virial equation $[$Eq$.(3\mathrm{.}36)],$ with a value of $B$ from the generalized Pitzer correlation $[$Eqs$.(3\mathrm{.}58)-(3\mathrm{.}62)]$

$($c$)$ The Redlich$/$Kwong equation

$($d$)$ The Soave$/$Redlich$/$Kwong equation

$($e$)$ The Peng$/$Robinson equation

For $N{F}_3,T_c=234K,P_c=\frac{44\mathrm{.}6}{b}ar,$ and $=0\mathrm{.}126.$