Question

Adsorption of gas follows Freundlich adsorption isotherm. In the given plot, x is the mass of the gas absorbed on mass m of the adsorbent at pressure p. $\frac{x}{m}$ is proportional to:

• A. $P^{\frac{1}{4}}$
• B. $P^2$
• C. $P$
• D. $P^{\frac{1}{2}}$

Answer 1

The correct option is D $P^{\frac{1}{2}}$

$\frac{x}{m}=K\times P^{1/n}$

$log\frac{x}{m}=logK+\frac{1}{n}logP$

$m=\frac{1}{n}=\frac{2}{4}=\frac{1}{2}\Rightarrow n=2$

So, $\frac{x}{m}=K\times P^{1/2}$

$\therefore$ $\frac{x}{m}$ is directly proportional to the $P^{\frac{1}{2}}$

Hence, the correct option is D.