Calculate $Z$ and $V$ for ethane at $50C$ and $15$ bar by the following equations:

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

virial coefficients: $B=156\mathrm{.}7c{m}^3*mo{l}^{-1},C=9650c{m}^6*mo{l}^{-2}$

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