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For the reaction A(g) + B(g) ⇌ AB(g), the activation energy for the reverse reaction is greater than that for the forward reaction by 2RT (in J mol⁻¹). If the forward reaction's pre-exponential factor is four times that of the backward reaction, what is the magnitude of ΔG⁰ (in J mol⁻¹) at 300 K?
- 5000
- 2500
- 10000
- 7500
Correct answer: 2500
Solution
The difference in activation energies and the ratio of pre-exponential factors allow calculation of the equilibrium constant. Using ΔG⁰ = -RT ln(K), the value of ΔG⁰ at 300 K is found to be 2500 J/mol.
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