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GATE 2020 BT – Question 36

Fundamentals of Biological Engineering · Bioreaction Engineering: Rate law, zero and first order kinetics, Michaelis-Menten kinetics and enzyme inhibition · 2 marks · Multiple choice

A block of ice at 0°C receives heat at a constant rate and is converted to superheated steam. Assume the specific heat of H₂O is independent of temperature. Which temperature–time trajectory is correct?

Diagram for GATE 2020 BT question 36
  1. Option A in the figure
  2. Option B in the figure
  3. Option C in the figure
  4. Option D in the figure

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Show answer and explanation

Correct answer: (A) Option A in the figure

Explanation

During initial melting, latent heat is absorbed at constant 0°C, producing a plateau. Liquid water then warms linearly under constant heating and constant heat capacity. Boiling produces a second plateau, followed by a rising steam-temperature segment. Only graph A has this plateau–rise–plateau–rise sequence. The question implicitly uses a fixed pressure for the phase transitions.

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