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GATE 2020 AG – Question 34

Dairy and Food Engineering · Heat and Mass Transfer · 1 mark · Numerical answer

A composite wall has 100 mm brick of conductivity 0.30 W/(m °C), followed by 150 mm polyurethane insulation of conductivity 0.05 W/(m °C). Exposed brick and insulation surfaces are 45°C and 10°C. Find interface temperature in °C (one decimal).

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Correct answer: 41.4 to 41.6

Explanation

Per-area thermal resistances are Rb=0.1/0.30=1/3 and Ri=0.15/0.05=3. Heat flux is (45−10)/(1/3+3)=10.5 W/m². Brick temperature drop is 10.5/3=3.5°C, so interface temperature=45−3.5=41.5°C.

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