Which of the following relations is true?

A ΔG = ΔH – TΔS
B ΔH = ΔG – TΔS
C ΔT = ΔH – GΔS
D ΔG = TΔH – ΔS

Correct Answer: ΔG = ΔH – TΔS

ΔG = ΔH – T ΔS, this equation is known as Gibb’s free energy equation. While plastic deformation certainly increases the entropy of a metal, the effect is small compared to the increase in internal energy (the retained strain energy). The term T∆S in the free energy equation may be neglected and the free-energy increase equated directly to the stored energy. Where ∆G is the free energy associated with the cold work, ∆H is the enthalpy or stored strain energy, ∆S is the entropy increase due to the cold work, and T is the absolute temperature.

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