Gibbs phase rule at critical point

AI Thread Summary
At the critical point of a one-component system like water, the degrees of freedom is zero, as it represents a fixed point where temperature and pressure are defined. This aligns with the application of Gibbs' phase rule, which states that the number of phases in equilibrium is determined by the equation P + V = C + 2, where C is the number of components. The discussion highlights a disagreement with a teacher's assertion that there is one degree of freedom at this point. Participants confirm that at the critical point, the system's state is uniquely defined, leaving no room for variation. The consensus supports the idea that the degrees of freedom at the critical point is indeed zero.
casas1010
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What is the degrees of freedom at the critical point of a 1 component system such as water. in my test I put zero because the critical point is a POINT that is fixed per substance.
is there any books that can back me up?
I heard that my teacher said there was 1 degree of freedom which I am pretty sure its wrong
 
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and if I am wrong what is your reasoning, thanks
 
casas1010 said:
What is the degrees of freedom at the critical point of a 1 component system such as water. in my test I put zero because the critical point is a POINT that is fixed per substance.
is there any books that can back me up?
I heard that my teacher said there was 1 degree of freedom which I am pretty sure its wrong
I agree with you. P + V = C +2
C = 1
P = 3
so
V = 0

Chet
 

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