Question:
Among the following, which one term does not represent Gibbs free energy?
Among the following, which one term does not represent Gibbs free energy?
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Always remember \(G=H-TS=U+PV-TS=F+PV\).
Updated On: May 19, 2026
- \(G=U+TS\)
- \(G=F+PV\)
- \(G=H-TS\)
- \(G=U-TS+PV\)
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The Correct Option is A
Solution and Explanation
Concept:
Gibbs free energy is defined as: \[ G=H-TS \] Since, \[ H=U+PV \] therefore: \[ G=U+PV-TS \] Also, Helmholtz free energy is: \[ F=U-TS \] So, \[ G=F+PV \]
Step 1: Check correct forms of \(G\). \[ G=H-TS \] is correct. \[ G=U-TS+PV \] is correct. \[ G=F+PV \] is also correct.
Step 2: Identify incorrect expression. \[ G=U+TS \] is not a correct expression for Gibbs free energy. \[ \therefore \text{Correct Answer is (A)} \]
Gibbs free energy is defined as: \[ G=H-TS \] Since, \[ H=U+PV \] therefore: \[ G=U+PV-TS \] Also, Helmholtz free energy is: \[ F=U-TS \] So, \[ G=F+PV \]
Step 1: Check correct forms of \(G\). \[ G=H-TS \] is correct. \[ G=U-TS+PV \] is correct. \[ G=F+PV \] is also correct.
Step 2: Identify incorrect expression. \[ G=U+TS \] is not a correct expression for Gibbs free energy. \[ \therefore \text{Correct Answer is (A)} \]
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