question_answer

For a linear plot of log \[(x/m)\] versus log p in a Freundlich adsorption isotherm, which of the following statements is correct? (k and n are constants)

A) 1/n appears as the intercept

B) Only 1/n appears as the slope

C) \[\log \left( \frac{1}{n} \right)\]appears as the intercept

D) [d] Both k and 1/n appear in the slope term

Correct Answer: B

Solution :

[b] According to Freundlich adsorption isotherm, \[\frac{x}{m}=k{{p}^{1/n}}\]

On taking logarithm of both sides, we get \[\log \frac{x}{m}=\log k+\log {{p}^{1/n}}\]  or \[\log \frac{x}{m}=\log k+\frac{1}{n}\log p\]

On compairing the above equation, with equation of straight line, i.e.

\[y=c+mx,\] we get \[y=\log \frac{x}{m},\]

c = intercept = log k

m = slope \[=\frac{1}{n}\] and \[=x=\log p\]

Thus, option [b] is correct.