(B) Given: Half-life period $(t_{1/2})$ = $1386 \ s$.For a first-order reaction,the relationship between half-life and rate constant $(k)$ is given by

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(B) Given: Half-life period $(t_{1/2})$ = $1386 \ s$.For a first-order reaction,the relationship between half-life and rate constant $(k)$ is given by:$t_{1/2} = \frac{0.693}{k}$Rearranging for $k$:$k = \frac{0.693}{t_{1/2}}$Substituting the value:$k = \frac{0.693}{1386} \ s^{-1}$$k = 0.0005 \ s^{-1}$$k = 5.0 \times 10^{-4} \ s^{-1} = 0.5 \times 10^{-3} \ s^{-1}$.

Class 12 Chemistry Chemical Kinetics First Order reaction

Medium

Half-life period of a first order reaction is $1386 \ s$. The specific rate constant of the reaction is

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A
$0.5 \times 10^{-2} \ s^{-1}$
B
$0.5 \times 10^{-3} \ s^{-1}$
C
$5.0 \times 10^{-2} \ s^{-1}$
D
$5.0 \times 10^{-3} \ s^{-1}$

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Chemical Kinetics

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Half-life period of a first order reaction is $1386 \ s$. The specific rate constant of the reaction is

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Regarding the half-life period of a first-order reaction,which one of the following statements is generally false?

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