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WBJEE · Chemistry · Thermodynamics (C)

Which of the following thermodynamic relation is correct?

  1. A \(\mathrm{dG}=\mathrm{VdP}-\mathrm{SdT}\)
  2. B \(\mathrm{dE}=\mathrm{PdV}+\mathrm{TdS}\)
  3. C \(\mathrm{dH}=-\mathrm{VdP}+\mathrm{TdS}\)
  4. D \(\mathrm{dG}=\mathrm{VdP}+\mathrm{SdT}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\mathrm{dG}=\mathrm{VdP}-\mathrm{SdT}\)

Step-by-step Solution

Detailed explanation

\text { Hints: } \begin{gathered} \mathrm{dG}=\mathrm{dH}-\mathrm{TdS}-\mathrm{SdT}(\text { as } \mathrm{G}=\mathrm{H}-\mathrm{TS} \text { ) } \\ \text { again, } \mathrm{H}=\mathrm{U}+\mathrm{PV} \\ \therefore \mathrm{dH}=\mathrm{dU}+\mathrm{PdV}+\mathrm{VdP} \\ \&…