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Every instance of phase or chemical equilibrium is characterized by a constant.
For instance, the melting of ice is characterized by a temperature, known as the melting point at which solid and liquid phases are in equilibrium with each other.
Chemical potentials can be used to explain the slopes of lines on a phase diagram by using the Clapeyron equation, which in turn can be derived from the Gibbs-Duhem equation.
They are used to explain such as melting point depression by the application of pressure.
Both Raoult's law and Henry's law can be derived in a simple manner using chemical potentils.

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