Question

For adsorption of gas on solid surface, the plots of log $x/mvs$ log $P$ is linear with a slope equal to:

• A. $\text{log}c$
• B. $\text{log}k$
• C. $k$
• D. $\frac{1}{n}$

Answer 1

The correct option is D $\frac{1}{n}$

For adsorption of a gas on the surface of a solid, the extent of adsorption $\left(x/m\right)$ varies with $P$ as given as:
$\frac{x}{m}=k(p{)}^{1/n}$
This equation is known as Freundlich Adsorption Isotherm.
On taking logarithm on both sides, we get,
$\text{log}\frac{x}{m}=\text{log}k+\frac{1}{n}\text{log}\left(p\right)$
$\therefore$ plot of $\text{log}\frac{x}{m}$ versus $\text{log}p$ will be linear with slope $=\frac{1}{n}$