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JEE Main levelSingle correct optionDifficulty 2 of 3ck122

The first-order gas-phase reaction $A (g) B (g) + C (g)$ is carried out at constant volume starting with pure A at 400 mmHg. The total pressure is 550 mmHg after 20 min. The rate constant, in $mi n^{- 1}$ , is

A $0.0159$
B $0.0490$
C $0.0102$
D $0.0235$

Answer: D

With

p_{A} = 2 P_{0} - P_{t} = 250

mmHg,

k = \frac{1}{t} ln \frac{P _{0}}{p _{A}} = \frac{1}{20} ln \frac{400}{250} = 0.0235 mi n^{- 1}

.

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