Surface Chemistry question bank (Chemistry)

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

The correct option among the following is.