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The rate law for the reaction $\mathrm{A}+\mathrm{B} \rightarrow$ product is rate $=k[A][B]$. When will the rate of reaction increase by factor two?
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$[A]$ is doubled and $[B]$ is kept constant
$\begin{aligned} & \text { Rate }=\mathrm{k}[\mathrm{A}][\mathrm{B}] \\ & (\text { Rate })_1=\mathrm{k} \times 2[\mathrm{~A}][\mathrm{B}] \\ & \frac{(\text { Rate })_1}{\text { Rate }}=\frac{\mathrm{k} 2[\mathrm{~A}][\mathrm{B}]}{\mathrm{k}[\mathrm{A}][\mathrm{B}]}=2 \\ & (\text { Rate })_1=2 \times \text { Rate }\end{aligned}$
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