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The standard free energy of activation of a reaction A is 88.6 kJ mol–1 (21.2 kc

ID: 887669 • Letter: T

Question

The standard free energy of activation of a reaction A is 88.6 kJ mol–1 (21.2 kcal mol–1) at 298 K. Reaction B is one million times faster than reaction A at the same temperature. The products of each reaction are 10.0 kJ mol–1 (2.39 kcal mol–1) more stable than the reactants. (a) What is the standard free energy of activation of reaction B?(b) What is the standard free energy of activation of the reverse of reaction A? (c) What is the standard free energy of activation of the reverse of reaction B?

Explanation / Answer

standard free energy of activation of reaction B

log (rate A/rate B) = (GB - GA )/ 2.3RT

log (1/1000000) = (GB - 88.6 kJ/mol) / 2.3(0.008314 kJ/K mol)(298K)

-6 = (GB - 88.6)/5.6984156

GB = -34.19 + 88.6

= 54.41 kJ/mol

standard free energy of activation of the reverse of reaction A

88.6kJ/mol + 10kJ/mol = 98.6kJ / mol

standard free energy of activation of the reverse of reaction B

54.41 kJ/mol + 10 kJ/mol = 64.41kJ/mol

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