Question

Prove ΔG = –TΔ$S_{total}$.

Answer 1

"The Gibbs free energy of combines "enthalpy" and "entropy" in one value. This energy is associated with a "chemical reactions"" that are useful. It is equivalent to enthalpy minus temperature and system entropy.

Free energy refers to the amount of "energy available" during a "chemical reaction" to do cellular work.

Gibbs free energy equation

$\Delta G\quad =\quad \Delta H\quad -\quad T\Delta S$

$\Delta G\quad =\quad Gibbs\quad free\quad energy$

$T\quad =\quad Temperature\quad in\quad Kelvins$

$\Delta S\quad =\quad Entropy\quad change$

If $\Delta G$ is "negative", the "forward reaction" is "spontaneous".

If $\Delta G$ is zero, the system is at "equilibrium".

If $\Delta G$ is "positive", the reaction is "spontaneous" in the "reverse direction"."