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The number of degrees of freedom in the homogenous liquid region of a two component system with a eutectic point, at one atmosphere pressure is:
- a)0
- b)1
- c)2
- d)3
Correct answer is option 'A'. Can you explain this answer?
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The number of degrees of freedom in the homogenous liquid region of a ...
Degrees of Freedom in a Two Component System
In a two-component system, the degrees of freedom can be calculated using the Gibbs Phase Rule, which is given by:
F = C - P + 2
where F is the degrees of freedom, C is the number of components, and P is the number of phases.
Homogenous Liquid Region
The homogenous liquid region is a region in the phase diagram where the two components are completely mixed and form a single phase. This region is characterized by a constant composition and pressure.
Eutectic Point
The eutectic point is a point on the phase diagram where the two components of a system reach their lowest melting point and form a eutectic mixture. This point is characterized by a unique composition and temperature.
Answer Explanation
In a two-component system with a eutectic point, the number of degrees of freedom in the homogenous liquid region is zero (option A). This is because:
- The homogenous liquid region is a single phase, so P = 1.
- The eutectic point is a fixed point with a unique composition and temperature, so C and T are fixed.
- Therefore, according to the Gibbs Phase Rule, F = 1 - 1 + 2 = 0.
Hence, option A is the correct answer.
In a two-component system, the degrees of freedom can be calculated using the Gibbs Phase Rule, which is given by:
F = C - P + 2
where F is the degrees of freedom, C is the number of components, and P is the number of phases.
Homogenous Liquid Region
The homogenous liquid region is a region in the phase diagram where the two components are completely mixed and form a single phase. This region is characterized by a constant composition and pressure.
Eutectic Point
The eutectic point is a point on the phase diagram where the two components of a system reach their lowest melting point and form a eutectic mixture. This point is characterized by a unique composition and temperature.
Answer Explanation
In a two-component system with a eutectic point, the number of degrees of freedom in the homogenous liquid region is zero (option A). This is because:
- The homogenous liquid region is a single phase, so P = 1.
- The eutectic point is a fixed point with a unique composition and temperature, so C and T are fixed.
- Therefore, according to the Gibbs Phase Rule, F = 1 - 1 + 2 = 0.
Hence, option A is the correct answer.
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Community Answer
The number of degrees of freedom in the homogenous liquid region of a ...
C=2,P=1, REDUSE GIBBS RULE due to pressure fix
F=C-P+1
F=C-P+1
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The number of degrees of freedom in the homogenous liquid region of a two component system with a eutectic point, at one atmosphere pressure is:a)0b)1c)2d)3Correct answer is option 'A'. Can you explain this answer?
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