The mass of gas adsorbed, $x$, per unit mass of adsorbate, $m$, was measured at various pressures, $

Question

The mass of gas adsorbed, $x$, per unit mass of adsorbate, $m$, was measured at various pressures, $p$. A graph between $log(x/m)$ and $log~p$ gives a straight line with slope equal to 2 and the intercept equal to 0.4771. The value of $x/m$ at a pressure of 4 atm is

Professor PC Thomas Classes · Answer

Slope $1/n = 2$. Intercept $log~k = 0.4771 \implies k = 3$. At $P = 4$ atm, $x/m = kP^{1/n} = 3 	imes 4^2 = 48$.