Ethyl chloride vapor decomposes by the first-order reaction C_2H_5Cl rightarrow

Question

Ethyl chloride vapor decomposes by the first-order reaction C_2H_5Cl rightarrow C_2H_4 + HCl The activation energy is 249 kJ/mol and the frequency factor is 1.6 times 10^14 s^-1. Find the value of the specific rate constant at 710 K. Express your answer using two significant figures. k = s^-1 Find the fraction of the ethyl chloride that decomposes in 19 minutes at this temperature. Express your answer using two significant figures. Find the temperature at which the rate of the reaction would to twice as fast. Express your answer using two significant figures.

Explanation / Answer

specific rate constant k = A*exp(-Ea/(R*T)) =1.6*10^14*exp(-249*10^3/(8.314*700)) =0.00004196055 s^-1

b) from the unit of rate constant, we know it is a 1st order reaction

=> Fraction remaining =CA/CAO = (1-exp(-k*t)) =1-exp(-0.00004196055*19*60) =0.0467

=> Fraction decomped =1-CA/CAO =1-0.0467  =0.9533

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