Acetic acid ( $\mathrm{C}{\mathrm{H}}_3\mathrm{C}\mathrm{O}\mathrm{O}\mathrm{H}$ ) is partially dimerised to ${\left(\mathrm{C}{\mathrm{H}}_3\mathrm{C}\mathrm{O}\mathrm{O}\mathrm{H}\right)}_2$ in the vapour phase. At a total pressure of $\text{0}\text{.200}\text{atm}$, acetic acid is $\text{92}\text{.0\%}$ dimerized at $\text{298}\text{K}$. The value of equilibrium constant of dimerization under these conditions is