## Gibbs Phase Rule

Using the Gibbs Phase rule, how many degrees of freedom exist at the triple point of water?

Hint
Gibbs Phase Rule (non-reacting systems):
$$P+F=C+2$$$where $$P$$ is the number of phases making up a system, $$F$$ is the degrees of freedom, and $$C$$ is the number of components in a system. Hint 2 The triple point of a substance is where a specific temperature and pressure causes three phases (solid, liquid, and gas) to coexist in thermodynamic equilibrium. Gibbs Phase Rule (non-reacting systems): $$P+F=C+2$$$
where $$P$$ is the number of phases making up a system, $$F$$ is the degrees of freedom, and $$C$$ is the number of components in a system.

The triple point of a substance is where a specific temperature and pressure causes three phases (solid, liquid, and gas) to coexist in thermodynamic equilibrium. Based on the givens from the problem statement:
$$P=3$$ (water simultaneously exists as a gas, liquid, and solid)
$$C=1$$ (water is the only substance in the system)

Solving for degrees of freedom, $$F$$ :
$$F=C+2-P=1+2-3=0$$\$
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