Example $2$

Carbon disulfide $(C{S}_2)$ is a liquid at room $T$

$($a$)$ Calculate the $G_{\text{v}\text{a}\text{p}}($the Gibbs energy for the vaporization of $C{S}_2),$ at $25C$ and $1$atm given that $S_{\text{v}\text{a}\text{p}}$ equals $86\mathrm{.}39J{K}^{-1}mo{l}^{-1}$ and $H_{\text{v}\text{a}\text{p}}$ equals $27\mathrm{.}66kJmo{l}^{-1}.$

$($b$)$ Compute the normal boiling point of $C{S}_2$ assuming that $S_{\text{v}\text{a}\text{p}}$ and $H_{\text{v}\text{a}\text{p}}$ at the normal boiling point equal their values at $25C$ and $1$atm