Why does the chemical potential change with pressure even if the system is incompressible (that is,...

Why does the chemical potential change with pressure even if the system is incompressible (that is, remains at the same volume when pressure is applied)?

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Expert Solution

The variables that characterize a thermodynamic system, such as volume, pressure, particle number, chemical potential, temperature and entropy are not independent of each. A given thermodynamic potential, for example chemical potential can be written as a function of the three variables, P, T and N.

But if we consider chemical potential as a function of T only for an incompressible system, then it is not an independent state function as the the characteristics of an ideal gas cannot be defined using T and chemical potentials as independent variables. The concept of an ideal gas is an extreme case and none of the real systems has the chemical potential as a function of T only, and the chemical potential is a function of P as well.

queen_honey_blossom answered 1 year ago

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