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