GATE AG 2013 • Q24 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:

A cold storage chamber is constructed with 10 mm mortar, 200 mm brick, 100 mm insulation and 5 mm wood-board having thermal conductivities of 0.8, 1.5, 0.025 and 0.2 W m⁻¹K⁻¹, respectively. The resistance of 4 K m² W⁻¹ is offered by

Options:

  • (A) mortar
  • (B) brick
  • (C) insulation
  • (D) wood-board

Official Answer Key:

C

Step-by-Step Solution & Explanation

Thermal resistance of each layer, R = L/k: Mortar: 0.010/0.8 = 0.0125 K·m²/W Brick: 0.200/1.5 = 0.1333 K·m²/W Insulation: 0.100/0.025 = 4.0 K·m²/W ✓ Wood-board: 0.005/0.2 = 0.025 K·m²/W Only the insulation layer offers 4 K·m²/W. Answer: (C) insulation.

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