What is the difference between the states of phase equilibrium and metastability?

The state of phase is description about the substance existing in equilibrium and metastability is non-equilibrium state of substance.

The given problem is based on the major difference between the states of phase of equilibrium and the metastability. These two are the concepts of chemical equilibrium, when there is subsequent change in the phase of one substance, with respect to the other substance.

Thus, we can conclude that the state of phase is description about the substance existing in equilibrium and metastability is non-equilibrium state of substance.

Learn more about the chemical equilibrium here:

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The main difference is that the metastable state is not a state of equilibrium, but a state of non-equilibrium that is maintained for a long time. A metastable state is when the system approaches equilibrium in a very slow manner.

And on the other hand the phase equilibrium as the name says is a state of equilibrium in which there are more than two phases coexisting.

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ice to water 1 water to vapour 2 latent heat