Question

Give the equation that relates gibbs free energy and entropy of the system

Answer 1

Delta G = delta H minus T into delta s
Where G is gibbs free energy
H equals enthalpy
T is temperature
And S is entropy of the system

Answer 2

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For any system at constant pressure and temperature.

ΔG = Δ H - T Δ S 1st eq

We know that,

Δ H = Δ U + P Δ V

∴ Δ G = Δ U + P Δ V - T Δ S

From first law of thermodynamics

⇒ Δ U = q + w

From second law of thermodynamics

$ΔS = \frac{q}{t} ΔG \: + q + \: w \: + PΔV -T \: ( \frac{q}{T} )$

ΔG = w + PΔV

-ΔG = - w - PΔV

But -PΔV represents the work done due to expansion against a constant external pressure. Therefore, it is clear that the decrease in free energy (-ΔG) accompanying a process taking place at constant temperature and pressure is equal to the maximum work obtainable from the system other than the work for expansion.

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