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Question: The rate constant for a first order reaction at \(300ºC\) for which \(E_{a}\) is 35 kcal \(mol^{- 1}...

The rate constant for a first order reaction at 300ºC300ºC for which EaE_{a} is 35 kcal mol−1mol^{- 1} and frequency constant is 1.45×1011s−1is1.45 \times 10^{11}s^{- 1}is

A

10×10−2s−110 \times 10^{- 2}s^{- 1}

B

5.37×1010s−15.37 \times 10^{10}s^{- 1}

C

5×10−4s−15 \times 10^{- 4}s^{- 1}

D

7.94×10−3s−17.94 \times 10^{- 3}s^{- 1}

Answer

7.94×10−3s−17.94 \times 10^{- 3}s^{- 1}

Explanation

Solution

log⁡k=log⁡A−Ea2.303RT\log k = \log A - \frac{E_{a}}{2.303RT}

log⁡k=log⁡(1.45×1011)−35×1032.303×2×573\log k = \log(1.45 \times 10^{11}) - \frac{35 \times 10^{3}}{2.303 \times 2 \times 573}

log⁡k=11.16−13.26=−2.1\log k = 11.16 - 13.26 = - 2.1

Taking antilog, k=7.94×10−3s−1k = 7.94 \times 10^{- 3}s^{- 1}