Chemegate

GATE 2026 Chemical Engineering, Q17 · Reaction Engineering

The correct answer is D, 230.

Question

An irreversible chemical reaction occurs on a porous catalyst. All the pores are of same size. In strong pore diffusion regime, the observed activation energy is 120 kJ mol1.mol⁻¹. The activation energy of diffusion is 10 kJ mol1.mol⁻¹. Assuming Arrhenius temperature dependency for both reaction and diffusion, which one of the following is the true activation energy (in kJ mol1)mol⁻¹) of the reaction?

  • A. 65
  • B. 110
  • C. 130
  • D. 230

Official answer: 230

Why

GATE 2026 official key: (D). In the strong pore-diffusion regime, Eobserved=(Etrue+Ediffusion)/2,E_{observed} = (E_{true} + E_{diffusion})/2, so Etrue=2(120)10=230E_{true} = 2(120) − 10 = 230 kJ/mol.

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