Chemistry

Chemistry

Problem

Two elementary reactions occur at 298 K. Reaction X has Ea=50 kJ mol−1E_a = 50\,\text{kJ mol}^{-1}, and Reaction Y has Ea=100 kJ mol−1E_a = 100\,\text{kJ mol}^{-1}. Which statement is most accurate regarding their sensitivity to a 10 K temperature increase? a) Both reactions speed up by roughly the same factor; rate constants are dominated by the pre-exponential term, not EaE_a. b) Reaction X speeds up proportionally more than Reaction Y because its lower activation energy makes the rate more temperature-sensitive. c) Reaction Y speeds up proportionally more than Reaction X because the higher activation energy makes the rate constant more sensitive to temperature. d) Each reaction’s rate approximately doubles for a 10 K rise around room temperature, so they experience similar fractional increases.

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