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GATE 2026 Chemical Engineering, Q43 · Reaction Engineering

The correct answer is D, Reaction 2 is more temperature sensitive than Reaction 1 at all temperatures..

Question

The reaction rate constants of two reactions follow Arrhenius' law. The activation energies of Reaction 1 and Reaction 2 are E1 and E2, respectively and E1 < E2. Assuming same value for the frequency factor for both the reactions, which one of the following statements is CORRECT?

  • A. Reaction 1 and Reaction 2 are less temperature sensitive at lower temperature than at higher temperature.
  • B. Reaction 1 and Reaction 2 have the same temperature sensitivity at all temperatures.
  • C. Reaction 1 is more temperature sensitive than Reaction 2 at all temperatures.
  • D. Reaction 2 is more temperature sensitive than Reaction 1 at all temperatures.

Official answer: Reaction 2 is more temperature sensitive than Reaction 1 at all temperatures.

Why

GATE 2026 official key: (D). d(ln k)/dT =Ea/(RT2),= Ea/(RT²), so the larger activation energy (E2 > E1) makes Reaction 2's rate constant more sensitive to temperature at every T.

Explanation cross-checked for consistency. Final answer matches the official IIT answer key.

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