$CO_2$ gas adsorbs on charcoal following Freundlich adsorption isotherm. For a given amount of charc

Question

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

Professor PC Thomas Classes · Answer

Using $(x/m)_2 / (x/m)_1 = (P_2/P_1)^{1/n}$, we get $64 = 2^{1/n} \implies 2^6 = 2^{1/n} \implies 1/n = 6 \implies n = 1/6 \approx 0.1667 = 16.67 	imes 10^{-2} \approx 17$.