Part A

A certain first$-$order reaction has a rate constant of $2\mathrm{.}55{10}^{-2}{s}^{-1}$ at $21C.$ What is the value of $k$ at $61C$ if $E_a=81\mathrm{.}5k\frac{J}{m}ol?$

Express your answer in reciprocal seconds to three significant figures.

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Previous Answers

Incorrect; Try Again

Rearrange the two$-$point form of the Arrhenius equation to solve it for $k_2$ :

$ln\frac{k_1}{k_2}=\frac{E_a}{R}(\frac{1}{T_2}-\frac{1}{T_1})$

where $k_1$ and $k_2$ are the rate constants at absolute temperatures $T_1$ and $T_2,$ respectively, $E_a$ is the activation energy in $\frac{J}{m}ol,$ an You may want to review Hint $1.$ How to approach the problem.