CH_4 is adsorbed on 1 g charcoal at 0^° C following the Freundlich adsorption isotherm. 10.0 mL of CH_4 is adsorbed at 100 mm of Hg, whereas 15.0 mL…

$\displaystyle \mathrm{CH}_4$ is adsorbed on $\displaystyle 1$ g charcoal at $\displaystyle 0^{\circ} \mathrm{C}$ following the Freundlich adsorption isotherm. $\displaystyle 10.0$ mL of $\displaystyle \mathrm{CH}_4$ is adsorbed at $\displaystyle 100$ mm of Hg , whereas $\displaystyle 15.0$ mL is adsorbed at $\displaystyle 200$ mm of Hg . The volume of $\displaystyle \mathrm{CH}_4$ adsorbed at $\displaystyle 300$ mm of Hg is $\displaystyle 10^x \mathrm{~mL}$. The value of $\displaystyle x$ is \_\_\_\_$\displaystyle \times 10^{-2}$. (Nearest integer) [Use $\displaystyle \log _{10} 2=0.3010, \log _{10} 3=0.4771$ ]