The effectiveness factor for large value of Thiele modulus [L√(K/D1)] of a solid catalysed first order reaction is equal to (where, L = length of the reactor, cm, D1 = diffusion co-efficient, cm2/second) ?
Correct answer: D. 1/[L√(K/D1)]
- A. L √(K/D1)
- B. ∞
- C. 1
- D. 1/[L√(K/D1)]
Explanation
When the Thiele modulus is large, diffusion strongly limits the reaction and only a thin region of catalyst is effectively used. For a first-order reaction, the effectiveness factor therefore decreases approximately inversely with the Thiele modulus, giving 1/[L√(K/D1)].
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