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GATE 2025 CH – Question 15

Process Calculations · Gibbs phase rule and degree of freedom analysis · 1 mark · Multiple choice

The number of independent intensive variables that need to be specified to determine the thermodynamic state of a ternary mixture at vapor-liquid-liquid equilibrium is

  1. 0
  2. 1
  3. 2
  4. 3

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Correct answer: (C) 2

Explanation

By the Gibbs phase rule, $F = C - \pi + 2$. A ternary mixture has $C = 3$ components and at vapour-liquid-liquid equilibrium there are $\pi = 3$ phases, so $F = 3 - 3 + 2 = 2$.