Which of the following thermodynamic relation | vedclass

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(A) The Gibbs free energy is defined as $G = H - TS$.Taking the differential, we get $dG = dH - TdS - SdT$.Since $H = U + PV$, the differential is $dH

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$dG = VdP - SdT$

Vedclass · Answer

(A) The Gibbs free energy is defined as $G = H - TS$.Taking the differential, we get $dG = dH - TdS - SdT$.Since $H = U + PV$, the differential is $dH = dU + PdV + VdP$.From the first law of thermodynamics, $dU = TdS - PdV$.Substituting $dU$ into the expression for $dH$, we get $dH = (TdS - PdV) + PdV + VdP = TdS + VdP$.Now, substituting $dH$ back into the expression for $dG$:$dG = (TdS + VdP) - TdS - SdT$.Simplifying this, we obtain $dG = VdP - SdT$.

Which of the following thermodynamic relations is correct?

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