Question:
A closed system consists of a solution of liquid water and ethanol in equilibrium with its vapours. Using the Gibbs phase rule, the degree of freedom of the system is:
A closed system consists of a solution of liquid water and ethanol in equilibrium with its vapours. Using the Gibbs phase rule, the degree of freedom of the system is:
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The Gibbs phase rule helps in determining the number of independent variables (such as pressure, temperature) that can be specified in a system at equilibrium.
Updated On: Jan 6, 2026
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The Correct Option is C
Solution and Explanation
The Gibbs phase rule is used to determine the degree of freedom in a system. The formula for the degree of freedom (\( F \)) is given by:
\[
F = C - P + 2,
\]
where \( C \) is the number of components and \( P \) is the number of phases. In this case:
- The system consists of two components: liquid water and ethanol.
- The system is in equilibrium with its vapours, meaning there are two phases (liquid and vapour).
Thus, the degree of freedom is: \[ F = 2 - 2 + 2 = 2. \] Hence, the correct answer is \( (C) 2 \). Final Answer: (C) 2
- The system consists of two components: liquid water and ethanol.
- The system is in equilibrium with its vapours, meaning there are two phases (liquid and vapour).
Thus, the degree of freedom is: \[ F = 2 - 2 + 2 = 2. \] Hence, the correct answer is \( (C) 2 \). Final Answer: (C) 2
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