For a certain reaction,$\Delta H = -225 \ kJ \ mol^{-1}$ and $\Delta S = -150 \ J \ K^{-1} \ mol^{-1}$. Find the temperature at which $\Delta G$ is zero. (in $K$)

Which of the following conditions will always lead to a non-spontaneous change?

Calculate the work done when $1 \text{ mole}$ of an ideal gas is expanded reversibly and isothermally from an initial pressure $P_1 = 10 \text{ bar}$ to a final pressure $P_2 = 1 \text{ bar}$ at a constant temperature $T = 300 \text{ K}$. $[R = 8.314 \text{ J K}^{-1} \text{ mol}^{-1}]$ (in $\text{ kJ}$)

For a reaction at $25^o C$,$\Delta H > 0$ and $\Delta S > 0$. Under what conditions will this reaction become spontaneous?

For the reaction $CaCO_{3(s)} \to CaO_{(s)} + CO_{2(g)}$,given $\Delta H^o = 178.3 \, kJ$ and $\Delta S^o = 160 \, J \cdot K^{-1}$. At what temperature will the reaction become spontaneous?

Identify from the following the correct set of thermodynamic conditions for the reaction to be non-spontaneous at all temperatures.