The GATE Grind

GATE 2026 AG – Question 26

Dairy and Food Engineering · Heat and Mass Transfer · 1 mark · Multiple choice

Which quantity is dimensionless?

  1. Heat-exchanger effectiveness
  2. Humid heat of an air–water-vapor mixture
  3. Humid volume of an air–water-vapor mixture
  4. Overall heat-transfer coefficient

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Show answer and explanation

Correct answer: (A) Heat-exchanger effectiveness

Explanation

Heat-exchanger effectiveness is $\varepsilon=Q_{\mathrm{actual}}/Q_{\max}$,a ratio of heat-transfer rates with identical units. Humid heat has specific-heat units, humid volume has volume-per-mass units, and the overall coefficient has units W/(m²·K). Thus only **effectiveness, A**,is dimensionless.

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