Kelvi

The rate of a first-order reaction is $0.04 \,$ mol L $^{-1}$ s $^{-1}$ at $10 \,$ s and $0.03 \,$ mol L $^{-1}$ s $^{-1}$ at $20 \,$ s after initiation of the reaction. The half-life period of the reaction is (in seconds).

medium

ChemicalKinetics

2016

chemistry

24.1 s

34.1 s

44.1 s

54.1 s

Explanation

To solve this problem, we need to determine the half-life of a first-order reaction using the given rate data. $\newline$ For a first-order reaction, the rate constant $k$ is related to the rate $R$ and concentration $[A]$ by: $\newline R = k[A] \newline$

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The rate of a first-order reaction is 0.04 0.04 \,0.04mol L−1^{-1} −1s−1^{-1} −1 at 10 10 \,10s and 0.03 0.03 \,0.03mol L−1^{-1} −1s−1^{-1} −1 at 20 20 \,20s after initiation of the reaction. The half-life period of the reaction is (in seconds).

Explanation

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The rate of a first-order reaction is $0.04 \,$ mol L $^{-1}$ s $^{-1}$ at $10 \,$ s and $0.03 \,$ mol L $^{-1}$ s $^{-1}$ at $20 \,$ s after initiation of the reaction. The half-life period of the reaction is (in seconds).