State the criteria for a spontaneous process in terms of $\Delta G$ at constant pressure and temperature.

For the reaction occurring in the gaseous phase: $PCl_{5(g)} \rightleftharpoons PCl_{3(g)} + Cl_{2(g)}$,which of the following conditions is correct for the reaction to be spontaneous at high temperatures?

The value of ${\left[ {\frac{dG}{dT}} \right]_P}$ is ....

For a reaction,$\Delta H = +3 \, kJ$ and $\Delta S = +10 \, J/K$. At what minimum temperature (in $K$) will the reaction become spontaneous?

For reaction $Ag_2O_{(s)} \to 2Ag_{(s)} + 1/2 O_{2(g)}$,the value of $\Delta H = 30.56 \ kJ \ mol^{-1}$ and $\Delta S = 0.066 \ kJ \ K^{-1} \ mol^{-1}$. Temperature at which free energy change for reaction will be zero,is ............. $K$.

For a certain reaction,$\Delta H = -210 \ kJ$ and $\Delta S = -150 \ J \ K^{-1}$. Find the temperature so that $\Delta G = 0$. (in $K$)