Assertion : $k = A e^{- E_{a} / R T}$ , the Arrhenius equation represents the dependence of rate constant with temperature. Reason: Plot of $log k$ against $1 / T$ is linear and the activation energy can be calculated with this plot.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct, but Reason is not the correct explanation for Assertion

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Assertion is correct, but Reason is incorrect

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Assertion is incorrect, but Reason is correct

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
$k = A_{e}^{- E_{a} / R T}$
log k= $(- \frac{E_{a}}{R}) \frac{1}{T} + l o g A$
Hence graph of log k versus $\frac{1}{T}$ is linear, indicating the dependence of $k$ with $T$ .
Since slope= $- \frac{E_{a}}{R}$ , the activation energy can be calculated with this plot.

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