GATE 2025 CH Q22, Mass Transfer: The correct answer is B, For Penetration theory, k ∝ D_v^(1/3) | ChemeGate

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GATE 2025 Chemical Engineering, Q22 · Mass Transfer

The correct answer is B, For Penetration theory, k ∝ D_v^(1/3).

Question

If k is the mass transfer coefficient and $D_{v}$ is the molecular diffusivity, which one of the following statements is NOT CORRECT with respect to mass transfer theories?

A. For Film theory, k $\propto D_{v}$
B. For Penetration theory, k $\propto D_{v}^{1/3}$
C. For Surface Renewal theory, k $\propto D_{v}^{1/2}$
D. For Boundary Layer theory, k $\propto D_{v}^{2/3}$

Official answer: For Penetration theory, k $\propto D_{v}^{1/3}$

Why

GATE 2025 official key: (B). Higbie's penetration theory actually gives k $\propto D_{v}^{1/2},$ not $D_{v}^{1/3},$ making this statement the incorrect one.

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

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