Calculate the boiling point of a solution containing $0.61\text{ g}$ of benzoic acid (Molar mass $= 122\text{ g mol}^{-1}$) in $5\text{ g}$ of $\text{CS}_2$ in which it dimerises to the extent of $88%$. The boiling point and $K_{\text{b}}$ of $\text{CS}_2$ are $46.2\text{ }^\circ\text{C}$ and $2.3\text{ K kg mol}^{-1}$ respectively.