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## Main Question or Discussion Point

So the expression for Gibb's free energy is:

dG = -SdT + VdP + μdN,

Here, we see that the

My question is: we know chemical potential varies with both change in temperature and pressure. So

(That is, in the above equation, are we accounting for the change in Gibb's free energy as a result of change in chemical potential as a result of variation of T and P, in addition to the change in chemical potential due to change in particle number).

Further, when the number of particles changes, there

I guess I'm just having problems understanding chemical potential :-/

dG = -SdT + VdP + μdN,

Here, we see that the

**Gibb's free energy changes with temperature (dT), change in pressure (dP) and change in chemical potential**(as a result of change in particle number).My question is: we know chemical potential varies with both change in temperature and pressure. So

__if we don't add/remove particles from the system__, the chemical potential*does*change with variation of P and T...**so is that already included in the above equation**?(That is, in the above equation, are we accounting for the change in Gibb's free energy as a result of change in chemical potential as a result of variation of T and P, in addition to the change in chemical potential due to change in particle number).

Further, when the number of particles changes, there

**might be a number of chemical reactions that take place, so the temperature T might change because of that also, which would change the sdT term at the beginning, right**?I guess I'm just having problems understanding chemical potential :-/