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(D) The half-life period $(T_{1/2})$ of a reaction is related to the initial concentration $([A]_0)$ by the expression $T_{1/2} \propto [A]_0^{1-n}$,w

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(D) The half-life period $(T_{1/2})$ of a reaction is related to the initial concentration $([A]_0)$ by the expression $T_{1/2} \propto [A]_0^{1-n}$,where $n$ is the order of the reaction.For a first-order reaction $(n=1)$,$T_{1/2} = \frac{\ln 2}{k}$.Since this expression does not contain the initial concentration term,the half-life of a first-order reaction is independent of the initial concentration of the reactant.Therefore,if doubling the initial concentration does not affect the half-life,the reaction must be of the first order.

When the initial concentration of a reactant is doubled in a reaction,its half-life period is not affected. The order of the reaction is:

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