Question
At the high pressure, Langmuir adsorption isotherm takes the form
A.
$$\frac{x}{m} = \frac{{ap}}{{1 + bp}}$$
B.
$$\frac{x}{m} = \frac{a}{b}$$
C.
$$\frac{x}{m} = ap$$
D.
$$\frac{m}{x} = \frac{b}{a} + \frac{1}{{ap}}$$
Answer :
$$\frac{x}{m} = \frac{a}{b}$$
Solution :
Langmuir adsorption isotherm, is
$$\frac{x}{m} = \frac{{ap}}{{1 + bp}}$$
At high pressure, $$1 + bp = bp$$
$${\text{or}}\,\,\frac{x}{m} = \frac{{ap}}{{bp}} = \frac{a}{b}$$