Assuming ideal behaviour, the magnitude of $\log \mathrm{K}$ for the following reaction at $25^{\circ} \mathrm{C}$ is $\mathrm{x} \times 10^{-1}$. The value of $x$ is $\_\_\_\_$ . (Integer answer) $$ 3 \mathrm{HC} \equiv \mathrm{CH}_{(\mathrm{g})} \rightleftharpoons \mathrm{C}_6 \mathrm{H}_{6(t)} $$ [Given: $\Delta f G^{\circ}(\mathrm{HC} \equiv \mathrm{CH})=-2.04 \times 10^5 \mathrm{~J} \mathrm{~mol}^{-1}$; $$ \Delta f \mathrm{G}^{\circ}\left(\mathrm{C}_8 \mathrm{H}_8\right)=-1.24 \times 10^5 \mathrm{~J} \mathrm{~mol}^{-1} ; \mathrm{R}=8.314 $$ $\left.\mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\right]$