$3\mathrm{.}48.$ Calculate $Z$ and $V$ for boron trichloride at $300K$ and $1\mathrm{.}5$ bar by the following equations:

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

$B=-724c{m}^3*mo{l}^{-1},C=-93,866c{m}^6*mo{l}^{-2}$

$($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 $BC{l}_3,T_c=452K,P_c=\frac{38\mathrm{.}7}{b}ar,$ and $=0\mathrm{.}086.$