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