The half-life of a second-order reaction A→ B is given as

For a second order reaction1[A]f−1[A]0=kt At t0.5, [A]t=[A]0/2. Hence, t0.5=1k[A]0

The half-life of a second-order reaction A→ B is given as

For a second order reaction1[A]f−1[A]0=kt At t0.5, [A]t=[A]0/2. Hence, t0.5=1k[A]0

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The half-life of a second-order reaction $A \to B$ is given as

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$t_{1 / 2} = 0.693 / k$

$t_{1 / 2} = k / [A_{0}]$

$t_{1 / 2} = [A]_{0} / k$

$t_{1 / 2} = 1 / k [A]_{0}$

answer is D.

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For a second order reaction

$\frac{1}{[A]_{f}} - \frac{1}{[A]_{0}} = k t At t_{0.5}, [A]_{t} = [A]_{0} / 2 . Hence, t_{0.5} = \frac{1}{k [A]_{0}}$

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The half-life of a second-order reaction $A \to B$ is given as