Ethyl chloride vapor decomposes by the first-order reaction c2h5cl → c2h4 + hcl the activation energy is 249 kj/mol and the frequency factor is 1.60 × 1014 s−1. find the value of the specific rate constant at 896 k . enter your answer numerically (to 4 decimal places) and in terms of the appropriate units for a first order reaction.

Answer : The value of rate constant is,

Explanation :

The Arrhenius equation is written as:

Taking logarithm on both the sides, we get:

            ............(1)

where,

k = rate constant

Ea = activation energy  = 249 kJ/mol = 249000 kJ/mol

T = temperature  = 896 K

R = gas constant  = 8.314 J/K.mole

A = pre-exponential factor  or frequency factor =

Now we have to calculate the value of rate constant by putting the given values in equation 1, we get:

Therefore, the value of rate constant is,

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