Question

Derive the relationship between ΔG and ΔStotal .

Answer 1

Answe

Explanation: ∆G=∆H-T∆S

Answer 2

Explanation:

Since we know that the relation between the Gib's free energy, enthalpy and entropy is given as

G = H-TS

differentiate both sides we get,

$\Delta G=\Delta H -T\Delta S$.....................(1)

We know that the total entropy is given as.

$\Delta S_{total} = \Delta S_{sys} + \Delta S_{surr}$.........................(2)

$\Delta S_{surr} = \dfrac{-\Delta H}{T}$............................(3)

From (2) and (3) we get,

$-T\Delta S_{total} = \Delta H-T\Delta S_{sys}$................(4)

from (1) and (4) we get

$\Delta G =-T\Delta S_{total}$