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Chemical Reaction Engineering
Reaction Kinetics
GATE 2010
Hard

For a first order isothermal catalytic reaction, A→P, occurring in an infinitely long cylindrical pore, the relationship between effectiveness factor, ε, and Thiele modulus, φ, is

  • Aε=1/φ²
  • Bε=φ
  • Cε=1
  • ε=1/φ

Explanation

For a long cylindrical pore, the exact effectiveness factor is η=tanh(φ)/φ. In the limit of an infinitely long pore (large φ), tanh(φ)→1, so η≈1/φ.

Source: GATE CH 2010 (2010)

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