A catalyst lowers Ea from 100 kJ/mol to 75 kJ/mol at T = 300 K. Rate enhancement factor (R = 8.314 J/mol K):
AAbout 22000 (exp(25000 / 2494) ≈ exp(10))
B2
C100
D10⁻³
Answer & Solution
Correct answer: A. About 22000 (exp(25000 / 2494) ≈ exp(10))
k_cat/k_uncat = exp[(Ea - Ea')/RT] = exp[25000/(8.314 × 300)] = exp(10.0) ≈ 22000. Even modest reduction in Ea gives huge rate boost.
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