Thermodynamics

Given: \(\Delta \mathrm{G}^0{ }_{\mathrm{f}}\) of \(\mathrm{C}_2 \mathrm{H}_2\) is \(2.09 \times 10^5 \mathrm{~J} / \mathrm{mol}\) and \(\Delta \mathrm{G}_{\mathrm{f}}^0\) of \(\mathrm{C}_6 \mathrm{H}_6\) is \(1.24 \times 10^5 \mathrm{~J} / \mathrm{mol}\).
Calculate the equilibrium constant for the cyclic polymerisation of Ethyne to Benzene at \(27^{\circ} \mathrm{C}\). \((\mathrm{R}=8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1})\)