Gibbs phase rule use for wet vapour

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SUMMARY

The Gibbs phase rule states that the number of independent intensive properties required to specify the state of a system is given by the formula F=C-P+2, where C is the number of components and P is the number of phases. In a water and water vapor system, C=1 and P=2, resulting in F=1. While temperature can be specified, the dryness fraction must also be considered to fully define the system's state, as it influences specific volume. However, the dryness fraction is not an independent variable in this context, as the vapor must be either saturated or not, limiting the degrees of freedom in the system.

PREREQUISITES
  • Understanding of Gibbs phase rule in thermodynamics
  • Knowledge of intensive and extensive properties
  • Familiarity with the concept of dryness fraction
  • Basic principles of phase diagrams, particularly for water
NEXT STEPS
  • Study the implications of the Gibbs phase rule in multi-phase systems
  • Explore the relationship between dryness fraction and specific volume in thermodynamic systems
  • Learn about phase diagrams and their applications in thermodynamics
  • Investigate the properties of saturated and superheated steam
USEFUL FOR

Students and professionals in thermodynamics, chemical engineers, and anyone involved in the study of phase behavior in fluid systems.

Ravi Singh choudhary
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I have a doubt regarding gibbs phase rule in thermodynamics.. It says the number of independent intensive properties required to specify the state of a system is F=C-P+2 where C is number of components and P is the number of phase.. So for a water and water vapour system, C=1, P=2 . So F=1. If we specify the temperature,pressure is fixed. But inorder to completely fix the state of the system, the dryness fraction should also be known. As the dryness fraction determines specific volume of the system. So 2 variables are required, which is not correct according to Gibbs phase rule. Am i making any mistake in this? Please help
 
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Ravi Singh choudhary said:
dryness fraction
Not a variable in the sense you are using it.
 
Bystander said:
Not a variable in the sense you are using it.
How? I can have different specific volumes based on different dryness fraction.
 
Ravi Singh choudhary said:
I can have different specific volumes based on different dryness fraction.
Can you?
 
Bystander said:
Can you?
Yeah in in Pv diagram of water I have series of points on the horizontal line inside the vapor dome.
 
For application of the phase rule vapor is saturated or it is not; you don't have the option of looking at the average density of "wet steam." That is not a variable you can arbitrarily include in the degrees of freedom.
 
Bystander said:
For application of the phase rule vapor is saturated or it is not; you don't have the option of looking at the average density of "wet steam." That is not a variable you can arbitrarily include in the degrees of freedom.

I am getting your point but somehow I am not satisfied, can you please elaborate espicially your density logic.
 

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