Which of the following is the correct representation of Gibbs’ Free Energy equation?

A∆G=∆H-T∆S
B∆G=∆H+T∆S
C∆G=∆S+T∆H
D∆G=∆S-T∆H

Verified Answer :

the correct representation of Gibbs’ Free Energy equation is 
A) ∆G=∆H-T∆S
for more explanation, please see the attachement

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Answer: The correct answer is Option A.

Explanation:

Gibbs' free energy is defined as the energy which is used to do work. It is represented as \(\Delta G\)

It is also defined as the enthalpy change of the system minus the product of temperature and entropy change.

Mathematically,

\(\Delta G=\Delta H-T\Delta S\)

where,

\(\Delta G\) = Gibbs' free energy

\(\Delta H\) = Enthalpy change

\(\Delta S\) = Entropy change

T = absolute temperature

When \(\Delta G\) comes out to be negative, the reaction is spontaneous and if comes out to be positive, the reaction is non-spontaneous.

Hence, the correct answer is Option A.