Question

Which of the following relations is/are correct for Lingmuir adsorption theorem?
(i) $\frac{x}{m}$ = constant (at high pressure)

(ii) $\frac{x}{m}$ = constant $\times P^{1/n}$ (at intermediate pressure)

(iii) $\frac{x}{m}$= constant $\times P^n$ (at low pressure)

• A. All the relations are correct
• B. All the relations are wrong
• C. (i) and (ii) are correct
• D. (iii) is correct

Answer 1

The correct option is A All the relations are correct

Langmuir adsorption theorem is mathematically given by the equation $\frac{x}{m}=\frac{aP}{1+bP}$

At high pressure this extent of adsorption becomes independent of pressure .So, $\frac{x}{m}=constant$

At intermediate pressure $\frac{x}{m}\propto P^{\frac{1}{n}}$.

At low pressure conditions , $\frac{x}{m}$ varies proportionally with pressure and so $\frac{x}{m}\propto P^n$

So all the statements given are correct.