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The rate constant for a reaction increases 4 times when temperature increases from 27°C to 47°C. What is the activation energy? (R = 8.314 J mol⁻¹ K⁻¹)
Correct Answer:
B. 51.2 kJ/mol
EXPLANATION
Using ln(k₂/k₁) = (Eₐ/R)(1/T₁ - 1/T₂): ln(4) = (Eₐ/8.314)(1/300 - 1/320), solving gives Eₐ ≈ 51.2 kJ/mol.
For a reaction with mechanism: A ⇌ B (fast equilibrium), B + C → D (slow), the rate law is:
Correct Answer:
C. rate = k[A]^(1/2)[C]
EXPLANATION
From fast equilibrium: K = [B]/[A], so [B] = K[A]. The slow step rate law is rate = k'[B][C] = k'K[A][C] = k[A]^(1/2)[C] where k combines constants.