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JEE Main levelNumerical answerDifficulty 2 of 3sc027

A gas is adsorbed according to the Langmuir isotherm with $K = 0.045 kP a^{- 1}$ . At what pressure (in kPa, nearest integer) is $75%$ of the surface covered?

Numerical answer type, answer in kPa, tolerance 0.6.

Answer: 66.6667 kPa

θ = K p / (1 + K p)

gives

p = θ / [K (1 - θ)] = 0.75/ (0.045 \times 0.25) = 66.67 kPa \approx 67 kPa

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