question_answer

Adsorption from solution phase is explained by the help of Freundlich adsorption isotherm which is given by the expression

A)  \[\frac{x}{m}=\frac{k}{c}\]

B)  \[\frac{x}{m}=k{{c}^{2}}\]

C)  \[\log \frac{x}{m}=\log k+\frac{1}{n}\log C\]

D)  \[\log \frac{x}{m}=\frac{1}{n}\log k+\log C\]

E)  \[\frac{1}{n}\log \frac{x}{m}=\log k+\frac{1}{n}\log C\]

Correct Answer: C

Solution :

                The expression is \[\log \frac{x}{m}=\log k+\frac{1}{x}\log C\] \[\Rightarrow \]               \[\frac{x}{m}=k{{C}^{1/n}}\] Taking log on both sides, we get \[\log \frac{x}{m}=\log k+\frac{1}{x}\log C\]