30.4KJ of heat is required to melt one mole of sodium chloride and the entropy change At the melting point is 28.4J K^-1 mol^-1 at 1atm. The melting point of sodium chloride Is _____________K ( Nearest integer )

The heat required to melt one mole of a substance is known as its molar enthalpy of fusion, denoted as $\Delta H_{\text{fus }}$. For sodium chloride, is $30.4 \mathrm{kJ}/\mathrm{mol}\text{. }$

The entropy change at the melting point is given by $\Delta S=\frac{\Delta H_{\mathrm{fus}}}{T_{\mathrm{m}}}$, where $T_{\mathrm{m}}$ is the melting point in Kelvin. Substituting the given values, we get: 

$\begin{array}{r}28.4\mathrm{J}/\mathrm{K}/\mathrm{mol}=\frac{30.4\mathrm{kJ}/\mathrm{mol}}{T_{\mathrm{m}}}\\ \text{ Solving for }{T}_{\mathrm{m}}\text{, we get: }\\ T_{\mathrm{m}}=\frac{30.4\mathrm{kJ}/\mathrm{mol}}{28.4\mathrm{J}/\mathrm{K}/\mathrm{mol}}=1070.4\mathrm{K}\end{array}$

Rounding off to the nearest integer, the melting point of sodium chloride is 1070 K.