Chemistry-(general)

NEET Chemistry (general) MCQ Question

Type: MCQ-numerical-Hard-Class 12

For a first-order reaction A(g) → B(g) + C(g), the initial pressure of A is 2 atm. If the total pressure at time t is 3 atm, what is the rate constant k in s^-1 given that t = 500 seconds?

A

0.00139

B

0.00277

C

0.00415

D

0.00554

Correct Answer

Option A

Detailed Explanation

Using the formula k = (2.303/t) * log(p_i / (2p_i - p_t)), where p_i is the initial pressure and p_t is the total pressure at time t. Here, k = (2.303/500) * log(2 / (4 - 3)) = 0.00139 s^-1.

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