(A) For a zero order reaction,the integrated rate equation is: $[A] = [A]_0 - kt$. At half-life $(t = t_{1/2})$,the concentration of reactant is $[A]

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$k = [A]_0 / (2 \cdot t_{1/2})$

(A) For a zero order reaction,the integrated rate equation is: $[A] = [A]_0 - kt$. At half-life $(t = t_{1/2})$,the concentration of reactant is $[A] = [A]_0 / 2$. Substituting these values: $\frac{[A]_0}{2} = [A]_0 - k \cdot t_{1/2}$. Rearranging the terms: $k \cdot t_{1/2} = \frac{[A]_0}{2}$. Therefore,the rate constant is $k = \frac{[A]_0}{2 \cdot t_{1/2}}$.

Class 12 Chemistry Chemical Kinetics Zero order reaction

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What is the correct relation between rate constant and half-life for a zero order reaction?

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A
$k = [A]_0 / (2 \cdot t_{1/2})$
B
$k = 2[A]_0 / t_{1/2}$
C
$k = [A]_0 / t_{1/2}$
D
$k = [A]_0 / (4 \cdot t_{1/2})$

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What is the correct relation between rate constant and half-life for a zero order reaction?

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