## maximum G

Boltzmann Equation for Entropy: $S = k_{B} \ln W$

Simrina Desar Dis 1H
Posts: 49
Joined: Fri Sep 29, 2017 7:04 am

### maximum G

When G is a maximum why can the system no longer change?

Thu Uyen Tran 1B
Posts: 31
Joined: Fri Sep 29, 2017 7:05 am

### Re: maximum G

Adding on to this, during the lecture on 1/29, it was said that when G is a minimum, a system can no longer change as well. Why is this the case?

Samira 2B
Posts: 38
Joined: Fri Sep 29, 2017 7:05 am

### Re: maximum G

If you think about it on the graph that Dr. Lavelle showed us, there is a minimum to the parabolic curve meaning that the free energy of process cannot go below it. The process itself is at equilibrium so, it cannot spontaneously change and if work is put into it it will only be able to go up on the free energy scale.

On your question for the Gmax, I am not quite sure but I think of it as there is only so much work that you can do on a system to have it change non-spontaneously. Meaning there must be a cap on free energy, a Gmax.

Samira 2B
Posts: 38
Joined: Fri Sep 29, 2017 7:05 am

### Re: maximum G

"Energy is free to do all useful work" so the Gmax is just when the work stops being useful with the process.

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