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GATE ME 2017 Set 2 — Question 46

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MCQ+2 / -0.67MediumParallel, Counter & Cross FlowHeat ExchangersHeat TransferLMTD Method

Heat Transfer → Heat Exchangers → LMTD Method

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Question

In a counter-flow heat exchanger, water is heated at the rate of 1.5 kg/s1.5\text{ kg/s} from 40∘C40^\circ\text{C} to 80∘C80^\circ\text{C} by an oil entering at 120∘C120^\circ\text{C} and leaving at 60∘C60^\circ\text{C}. The specific heats of water and oil are 4.2 kJ/kg⋅K4.2\text{ kJ/kg}\cdot\text{K} and 2 kJ/kg⋅K2\text{ kJ/kg}\cdot\text{K}, respectively. The overall heat transfer coefficient is 400 W/m2⋅K400\text{ W/m}^2\cdot\text{K}. The required heat transfer surface area (in m2\text{m}^2) is
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