GATE ME 2015 Set 3 — Question 32
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Heat Transfer → Heat Exchangers → Effectiveness-NTU Method
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Question
Saturated vapor is condensed to saturated liquid in a condenser. The heat capacity ratio is . The effectiveness () of the condenser is
Correct answer
(D) 1 - exp(-NTU)
Solution
In a condenser, one of the fluids (the condensing vapor) undergoes a phase change at constant temperature. During a phase change, the effective specific heat is infinite, meaning . Consequently, the heat capacity ratio . For any heat exchanger (parallel or counter-flow) where , the effectiveness formula simplifies to:Thus, option (D) is the correct expression.
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