Question
The integrated rate law for a zero-order reaction is $$[A]_{t}=-k t+[A]_{0}$$ Derive an equation for the half-life of a zero-order reaction.
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Step 1: We start with the integrated rate law for a zero-order reaction: $$[A]_{t}=-kt+[A]_{0}$$ Show more…
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The integrated rate law for a zero-order reaction is $$[A]_{t}-[A]_{0}=k t$$ Derive an equation for the half-life of a zero-order reaction.
The integrated rate law for the zero-order reaction $\mathrm{A} \longrightarrow \mathrm{B}$ is $[\mathrm{A}]_{t}=[\mathrm{A}]_{0}-k t .$ (a) Sketch the follow- ing plots: (i) rate versus $[\mathrm{A}]_{t}$ and (ii) $[\mathrm{A}]_{t}$ versus $t$. (b) Derive an expression for the half-life of the reaction. (c) Calculate the time in half-lives when the integrated rate law is no longer valid, that is, when $[\mathrm{A}]_{t}=0$
The integrated rate law for the zero-order reaction $\mathrm{A} \longrightarrow \mathrm{B}$ is $[\mathrm{A}]_{t}=[\mathrm{A}]_{0}-k t .$ (a) Sketch the following plots: (i) rate versus $[\mathrm{A}]_{t}$ and (ii) $[\mathrm{A}]_{t}$ versus $t$. (b) Derive an expression for the half-life of the reaction. (c) Calculate the time in half-lives when the integrated rate law is no longer valid, that is, when $[\mathrm{A}]_{t}=0$.
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