Ethyl chloride vapor decomposes by the first-order reaction C2H5Cl --> C2H4 + HC

Question

Ethyl chloride vapor decomposes by the first-order reaction C2H5Cl --> C2H4 + HCl

The activation energy is 249 kJ/mol

The frequency factor is 1.6 X 10^14                s^-1

The temperatue is 710K

The rate constant K is 7.68 x 10^-5 s^-1. 1)

Find the fraction of the ethyl chloride that decomposes in 15 minutes(900seconds)  at this temperature. Find the temperature at which the rate of the reaction would be twice as fast.

Please show all the steps and equations used! thank you very much :)

Its from A molecular approach- canadian edition

Explanation / Answer

1) Find the fraction of the ethyl chloride that decomposes in 15 minutes at this temperature
You need the integrated rate law for 1st order reactions:
ln[X] = -kt + ln[A]

k = rate constant = 7.7 x 10??s?

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