Answer : The value of change in entropy for melting of Hg is 9.8 J/mol.K
Explanation :
Formula used :
[tex]\Delta S=\frac{\Delta H_{fus}}{T_m}[/tex]
where,
[tex]\Delta S[/tex] = change in entropy
[tex]\Delta H_{fus}[/tex] = change in enthalpy of fusion = 2.3 kJ/mol
[tex]T_m[/tex] = melting point temperature = [tex]-38^oC=273+(-38)=235K[/tex]
Now put all the given values in the above formula, we get:
[tex]\Delta S=\frac{\Delta H_{fus}}{T_m}[/tex]
[tex]\Delta S=\frac{2.3kJ/mol}{235K}[/tex]
[tex]\Delta S=\frac{2.3\times 10^3J/mol}{235K}[/tex]
[tex]\Delta S=9.8J/mol.K[/tex]
Therefore, the value of change in entropy for melting of Hg is 9.8 J/mol.K