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$$G=G(P,T,n)$$ $$dG=VdP-SdT+\mu dn=(\frac{\partial G}{\partial P})_{T,n}dP+(\frac{\partial G}{\partial T})_{P,n}dT+(\frac{\partial G}{\partial n})_{T,P}dn$$$$\mathrm dG=V\,\mathrm dP-S\,\mathrm dT+\mu\,\mathrm dn=\left(\frac{\partial G}{\partial P}\right)_{T,n}\,\mathrm dP+\left(\frac{\partial G}{\partial T}\right)_{P,n}\,\mathrm dT+\left(\frac{\partial G}{\partial n}\right)_{T,P}\,\mathrm dn$$

This allows open systems to be considered (where $$dn$$$$\mathrm dn$$ does not equal zero). However, can enthalpy, internal energy and helmholtzHelmholtz free energy also be treated in this way to allow for open systems?

$$G=G(P,T,n)$$ $$dG=VdP-SdT+\mu dn=(\frac{\partial G}{\partial P})_{T,n}dP+(\frac{\partial G}{\partial T})_{P,n}dT+(\frac{\partial G}{\partial n})_{T,P}dn$$

This allows open systems to be considered (where $$dn$$ does not equal zero). However, can enthalpy, internal energy and helmholtz free energy also be treated in this way to allow for open systems?

$$G=G(P,T,n)$$ $$\mathrm dG=V\,\mathrm dP-S\,\mathrm dT+\mu\,\mathrm dn=\left(\frac{\partial G}{\partial P}\right)_{T,n}\,\mathrm dP+\left(\frac{\partial G}{\partial T}\right)_{P,n}\,\mathrm dT+\left(\frac{\partial G}{\partial n}\right)_{T,P}\,\mathrm dn$$

This allows open systems to be considered (where $$\mathrm dn$$ does not equal zero). However, can enthalpy, internal energy and Helmholtz free energy also be treated in this way to allow for open systems?

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# Gibbs free energy can be expressed as a function of P,T and n but are enthalpy and internal energy also (partially) functions of n?

$$G=G(P,T,n)$$ $$dG=VdP-SdT+\mu dn=(\frac{\partial G}{\partial P})_{T,n}dP+(\frac{\partial G}{\partial T})_{P,n}dT+(\frac{\partial G}{\partial n})_{T,P}dn$$

This allows open systems to be considered (where $$dn$$ does not equal zero). However, can enthalpy, internal energy and helmholtz free energy also be treated in this way to allow for open systems?