Q.

Consider a complex reaction taking place in three steps with rate constants k1, k2 and k3 respectively. The overall rate constant k is given by the expression k=k1k3k2.If the activation energies of the three steps are 60, 30 and 10 kJ mol–1 respectively, then the overall energy of activation in kJ mol–1 is ________. (Nearest integer)

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answer is 20.

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Detailed Solution

K=K1K3K2A.eEa/RT=A1eEa1/RT×A3eEa3/RTA2eEa2/RT

By comparinig exponential term
EaRT=12×Ea1RT+Ea3RTEa2RTEa=Ea1+Ea3Ea2/2Ea=(60+1030)/2=20kJmol1

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