GATE AG 2010 • Q9 MCQ • 2 Marks

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Diffusive and convective mass transfer

Question Statement:

The dimensionless number in heat transfer corresponding to Sherwood Number in mass transfer is

Options:

  • (A) Biot Number
  • (B) Schmidt Number
  • (C) Nusselt Number
  • (D) Graetz Number

Official Answer Key:

C

Step-by-Step Solution & Explanation

Sherwood number Sh = k_c·L/D_AB (dimensionless convective mass-transfer coefficient) is the direct mass-transfer analogue of the Nusselt number Nu = h·L/k (dimensionless convective heat-transfer coefficient). Schmidt number is the mass-transfer analogue of Prandtl number, not Nusselt — a common distractor pairing.

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