(A) For a zero order reaction,the rate law is given by $r = k[A]^0 = k$. Integrating the rate equation,we get $[A]_t = [A]_0 - kt$. At half-life $(t =

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(A) For a zero order reaction,the rate law is given by $r = k[A]^0 = k$. Integrating the rate equation,we get $[A]_t = [A]_0 - kt$. At half-life $(t = t_{1/2})$,the concentration of reactant $[A]_t = \frac{[A]_0}{2} = \frac{a}{2}$. Substituting these values: $\frac{a}{2} = a - kt_{1/2}$. $kt_{1/2} = a - \frac{a}{2} = \frac{a}{2}$. Therefore,$t_{1/2} = \frac{a}{2k}$.

Class 12 Chemistry Chemical Kinetics Zero order reaction

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The rate equation for a reaction $A \rightarrow B$ is $r=k[A]^{0}$. If the initial concentration of the reactant is $a \ mol \ dm^{-3}$,the half-life period of the reaction is

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A
$\frac{a}{2k}$
B
$\frac{k}{a}$
C
$\frac{a}{k}$
D
$\frac{2a}{k}$

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

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The rate equation for a reaction $A \rightarrow B$ is $r=k[A]^{0}$. If the initial concentration of the reactant is $a \ mol \ dm^{-3}$,the half-life period of the reaction is

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

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