Answer:
265.91194 K
Explanation:
[tex]\Delta H^{\circ}[/tex] = Molar enthalpy of fusion = 10.57 kJ/mol
[tex]\Delta S^{\circ}[/tex] = Molar entropy of fusion = 39.75 J/mol
[tex]T_f[/tex] = Freezing point
Molar entropy of fusion is given by
[tex]\Delta S^{\circ}=\frac{\Delta H^{\circ}}{T_f}\\\Rightarrow T_f=\frac{\Delta H^{\circ}}{\Delta S^{\circ}}\\\Rightarrow T_f=\frac{10.57\times 10^3}{39.75}\\\Rightarrow T_f=265.91194\ K[/tex]
The freezing point of bromine is 265.91194 K