For the reaction, Half-life does not depend on the concentration of the reactant. After 10 min, volume of N2 gas is 20 L and after the completion of reaction, it is 100 L. Hence, rate constant is

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2.30310log 5 min−1

2.30310log 10 min−1

2.30210log 10 min−1

2.30310log 20 min−1

answer is A.

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Detailed Solution

Here, [R]0[R]=10020=5t=10 min or k=2.30310 minlog 5

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