Question

In Freundlich adsorption, isotherm adsorption is proportional to pressure \[P\] as
A. ${{P}^{0}}$
B. $P$
C. ${{P}^{n}}$
D. ${{P}^{\frac{1}{n}}}$

Answer 1

Hint: . In the year of 1909, a German scientist Freundlich provided a relationship between the amount of gas adsorbed in a unit mass of solid adsorbent.

Complete Step by Step Solution:
Freundlich adsorption isotherm provided an empirical relation between the amount of gas adsorbed by a solid adsorbent at a pressure and at a particular temperature. It is expressed as follows –
$\frac{x}{m}=k.{{P}^{\frac{1}{n}}}$
Here the term $x$ is the mass of the gas adsorbed. Here $m$ is the mass of the adsorbent at pressure $P$. $k,n$ are the constants that depend on the nature of the adsorbent and the gas at a given temperature.
Thus from the above relation of Freundlich adsorption isotherm we can say that isotherm adsorption is proportional to pressure \[P\] as ${{P}^{\frac{1}{n}}}$.
Thus the correct option is D.

Note: The process of holding gas, liquid or solid molecules on solid is called as adsorption. There are two types of adsorption present. One of these is physical adsorption and another one is chemical adsorption. Adsorption Isotherm is defined as a curve or graphical representation that gives the variation in the amount of gas adsorbed by the adsorbent with pressure and at given constant temperature.