Question

In Freundlich adsorption isotherm at moderate pressure, the extent of adsorption $(x/m)$ is directly proportional to $P^x$. The value of x is :

• A. 1
• B. zero
• C. $\infty$
• D. $1/n$

Hint:

At very low pressure, $1/n = 1$ (linear). At very high pressure, $1/n = 0$ (independent of pressure). At moderate pressure, it is $1/n$.

Answer 1

The Correct Option is D

Step 1: The Freundlich adsorption isotherm equation is $\frac{x}{m} = k P^{1/n}$.
Step 2: In this equation, $n$ is a constant that depends on the nature of the adsorbent and the gas at a particular temperature.
Step 3: The value of $1/n$ typically ranges from 0 to 1.
Step 4: Comparing the general form $P^x$ with $P^{1/n}$, we find that $x = 1/n$.