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Chemical Reaction Engineering
Reaction Kinetics
GATE 2018
Medium

For a chemical reaction, the ratio of rate constant at 500K to that at 400K is 2.5 (R=8.314 J/mol·K). The activation energy (kJ/mol) is

  • A10.5
  • B12.0
  • 15.2
  • D18.4

Explanation

ln(2.5)=(Ea/R)(1/400−1/500). ln(2.5)=0.9163, 1/400−1/500=0.0005. Ea=0.9163×8.314/0.0005=15,236 J/mol=15.2 kJ/mol.

Source: GATE CH 2018 (2018)

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