# Chemical equilibrium and free energy

I have a major confusion over the relationship between free energy change and the equilibrium constant. I have read that $\Delta G_0= -RT\ln K$.

My first doubt is, does $\Delta G_0$ refer to free energy change ONLY at 25C? Does $\Delta G_0$ make sense for any other temperature?

Secondly, the "T" in the equation Does it also have to be the same temperature as the temperature for which we write $\Delta G_0$? (ie,25C) If not so, can we write any temperature and obtain the corresponding K value?