GATE AG 2026 • Q30 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Diffusive and convective mass transfer

Question Statement:

Specific heat, coefficient of viscosity, and thermal conductivity are related in the

Options:

  • (A) Prandtl number
  • (B) Reynolds number
  • (C) Froude number
  • (D) Biot number

Official Answer Key:

A

Step-by-Step Solution & Explanation

Prandtl number, Pr = c_p μ/k — the only group that contains all three of the named properties. Physically it is the ratio of momentum diffusivity (ν = μ/ρ) to thermal diffusivity (α = k/ρc_p), and it determines the relative thickness of the velocity and thermal boundary layers. The others do not qualify: - Reynolds, Re = ρvD/μ — contains viscosity but neither c_p nor k. - Froude, Fr = v/√(gL) — purely kinematic; contains none of the three. - Biot, Bi = hL/k — contains thermal conductivity but neither c_p nor μ.

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