Question

Which of the following plots will be linear?

• A. Plot of $log\left(\frac{x}{m}\right)$ versus $P$
• B. Plot of $log\left(\frac{m}{x}\right)$ versus $\frac{1}{P}$
• C. Plot of log $\frac{P}{\frac{m}{m}}$ versus P
• D. Plot of $log\left(\frac{m}{x}\right)$ versus $logP$

Answer 1

Answer: (A), (B), (C)

Plot of $log\left(\frac{m}{x}\right)$ versus $\frac{1}{P}$
Plot of $log\left(\frac{x}{m}\right)$ versus $P$
Plot of log $\frac{P}{\frac{m}{m}}$ versus P

The Freundlich equation or Freundlich adsorption isotherm, an adsorption isotherm, is an empirical relation between the concentration of a solute on the surface of an adsorbent to the concentration of the solute in the liquid with which it is in contact. In 1909, Freundlich gave an expression representing the isothermal variation of adsorption of a quantity of gas adsorbed by a unit mass of solid adsorbent with pressure. This equation is known as Freundlich Adsorption Isotherm or Freundlich Adsorption equation.

As this relationship is entirely empirical, in the case where adsorption behaviour can be properly fit by isotherms with a theoretical basis, it is usually appropriate to use such isotherms

The Freundlich Adsorption Isotherm is mathematically expressed as:

The plot of log x/m versus P(at low-pressure x/m proportional to p)
The plot of m/x versus 1/P
Plot of log $\frac{P}{m/m}$ versus P

Hence, the correct options are $\text{A}$, $\text{B}$ and $\text{C}$