Write A Short Note On Gibbs Free Energy And Derive The Equation For The Same.?

Write A Short Note On Gibbs Free Energy And Derive The Equation For
The Same.?
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1 Answer

Answer :

This thermodynamic quantity states that the decrease in value during a process is equal to the useful work done by the system. It is denoted by G and the mathematical equation is:
G = H – TS
Where,
H = heat content
T = absolute temperature
S = entropy of the system
For isothermal process we have
G1 = H1 – TS1 for the initial state
G2 = H2 – TS2 for final stage
Therefore,
G2 – G1 = (H2 – H1) – T(S2 – S1)
Now,
ΔG = G2 – G1 is the change in Gibbs free energy
ΔH = H2 – H1 is the change in enthalpy of the system
ΔS = S2 – S1 Is the change in entropy of the system
Thus the above equation becomes:
ΔG = ΔH – TΔS is known as Gibbs-Helmoholtz equation.
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