\( \mathrm{CO_2} \) gas adsorbs on charcoal following Freundlich adsorption isotherm. For a given amount of charcoal, the mass of \( \mathrm{CO_2} \) adsorbed becomes \( 64 \) times when the pressure of \( \mathrm{CO_2} \) is doubled. The value of \( n \) in the Freundlich isotherm equation is ______ \( \times 10^{-2} \). (Round off to the Nearest Integer)