Which of the following formulas is correct for Gibbs free energy $(G)$?

For a reaction to occur spontaneously,which of the following conditions must be met?

The free energy for a reaction having $\Delta H = 31400 \, cal$ and $\Delta S = 32 \, cal \, K^{-1} \, mol^{-1}$ at $1000 \, ^oC$ is ....... $cal$.

Under what conditions will a reaction become spontaneous at all temperatures?

Calculate the work done if $1 \ mole$ of an ideal gas is compressed isothermally and reversibly from $12 \ dm^3$ to $6 \ dm^3$ at $300 \ K$. $\left[R = 8.314 \ J \ K^{-1} \ mol^{-1}\right]$ (in $kJ$)

The spontaneous nature of a reaction is impossible if