Assuming ideal behaviour, the magnitude of log K for the following reaction at 25^° C is x × 10^-1. The value of x is \ \ \ \. (Integer answer) 3 HC…

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