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JEE Main levelOne or more correct optionsDifficulty 2 of 3sc032

Which of the following statements about the Langmuir isotherm $θ = K p / (1 + K p)$ are correct?

A $θ \to 1$ as $p \to \infty$
B $θ = 0.5$ when $p = 1/ K$
C $θ$ is directly proportional to $p$ at all pressures
DFor $K p ≪ 1$ , $θ \approx K p$

Answer: A, B, D

At large

p

the denominator is dominated by

K p

so

θ \to 1

. At

p = 1/ K

,

θ = 1/2

. Direct proportionality holds only for

K p ≪ 1

, so statement 3 is wrong.

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