Question

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

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

Answer 1

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

$\frac{x}{m}=K\times P^{\frac{1}{n}}log\frac{x}{m}=logK+\frac{1}{n}logPm=\frac{1}{n}=\frac{2}{4}=\frac{1}{2}n=2So,\frac{x}{m}=K\times P^{\frac{1}{2}}\frac{x}{m}\propto P^{\frac{1}{2}}$