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The first thermodynamic law for a system of charged molecules in electric field reads dU = TdS - pdV + mu dn + psi dq where q is the charge of the molecules. Hence U = U(S, V, n, q). Find an alternative thermodynamic function F that has natural variables T, V, n, and psi, F = F(T, V, n, psi). Solution Helmholtz function can be defined as F = U-TS OR dF = dU-TdS-SdT = TdS-pdV+dn+dq-TdS-SdT.

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The first thermodynamic law for a system of charged molecules in electric field reads dU = TdS - pdV + mu dn + psi dq where q is the charge of the molecules. Hence U = U(S, V, n, q). Find an alternative thermodynamic function F that has natural variables T, V, n, and psi, F = F(T, V, n, psi). Solution Helmholtz function can be defined as F = U-TS OR dF = dU-TdS-SdT = TdS-pdV+dn+dq-TdS-SdT

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