2: The first law of thermodynamics can be written as: TdS = dU + PdV = dU = TdS - PdV. Moreover, we also use some other thermodynamic potentials. Most common three are: Helmholtz free energy: F = U – TS, Gibbs free energy: G = F+ PV, Enthalpy: H =U + PV. From here prove the following: dF = -SdT – PdV, %3D dG = -SdT + VdP, dH = TdS +VdP. %3D

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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2: The first law of thermodynamics can be written as:
TdS = dU + PdV = dU = TdS – PdV.
Moreover, we also use some other thermodynamic potentials. Most common three are:
Helmholtz free energy: F = U – TS,
Gibbs free energy: G = F + PV,
Enthalpy: H = U + PV.
From here prove the following:
dF = -SdT – PdV,
dG = -SdT +VdP,
%3D
dH = TdS + VdP.
%3D
Transcribed Image Text:2: The first law of thermodynamics can be written as: TdS = dU + PdV = dU = TdS – PdV. Moreover, we also use some other thermodynamic potentials. Most common three are: Helmholtz free energy: F = U – TS, Gibbs free energy: G = F + PV, Enthalpy: H = U + PV. From here prove the following: dF = -SdT – PdV, dG = -SdT +VdP, %3D dH = TdS + VdP. %3D
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