GATE AG 2018 • Q26 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Steady state heat transfer in conduction, convection and radiation

Question Statement:

Convective film heat transfer coefficient (h) of air (thermal conductivity = 0.025 W m⁻¹ K⁻¹) in W m⁻² K⁻¹, trapped between two parallel glass panes in a window 1.5 mm apart, is

Options:

  • (A) 3.75
  • (B) 16.67
  • (C) 37.52
  • (D) 60.21

Official Answer Key:

B

Step-by-Step Solution & Explanation

Air trapped in a 1.5 mm gap cannot circulate; heat transfer is by pure conduction across the film. Equating conduction and convection resistances: h = k/L. h = 0.025/0.0015 = 16.67 W m⁻² K⁻¹. Distractor (A) 3.75 = k × L × 10⁵-type manipulation, i.e. multiplying instead of dividing by the gap.

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