$$30.4$$ kJ of heat is required to melt one mole of sodium chloride and the entropy change at the melting point is $$28.4$$ J K$$^{-1}$$ mol$$^{-1}$$ at 1 atm. The melting point of sodium chloride is _____ K (Nearest Integer)

At the melting point, the process is at equilibrium, so $$\Delta G = 0$$.

$$\Delta G = \Delta H - T\Delta S = 0$$

$$T = \frac{\Delta H}{\Delta S} = \frac{30.4 \times 10^3}{28.4} = \frac{30400}{28.4} \approx 1070.4 \text{ K}$$

Nearest integer: $$T \approx 1070$$ K

This matches the answer key value of $$\mathbf{1070}$$.