GATE AG 2026 • Q26 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Working principles of heat exchangers

Question Statement:

Dimensionless parameter among the following options is

Options:

  • (A) heat exchanger effectiveness
  • (B) humid heat of air-water vapour mixture
  • (C) humid volume of air-water vapour mixture
  • (D) overall heat transfer coefficient

Official Answer Key:

A

Step-by-Step Solution & Explanation

Effectiveness ε = Q_actual/Q_maximum-possible — a ratio of two heat transfer rates, so the units cancel and ε is dimensionless (0 ≤ ε ≤ 1). The others all carry units: - Humid heat: kJ·kg⁻¹ dry air·K⁻¹ - Humid volume: m³·kg⁻¹ dry air - Overall heat transfer coefficient U: W·m⁻²·K⁻¹

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