At the melting point of benzene, the DH of fusion is 9.95 kJ/mol and the DS of
fusion is 35.7 J/K.mol. What is the temperature at which benzene melts?
278.7
To find the temperature at which benzene melts, we can use the equation:
ΔG = ΔH - TΔS
where:
ΔG is the change in Gibbs free energy,
ΔH is the enthalpy of fusion,
T is the temperature,
ΔS is the entropy of fusion.
At the melting point, ΔG is equal to zero, so the equation becomes:
0 = ΔH - TΔS
Rearranging the equation, we can solve for the temperature T:
T = ΔH / ΔS
Given that ΔH = 9.95 kJ/mol (or 9.95 x 10^3 J/mol) and ΔS = 35.7 J/K.mol, we can substitute these values into the equation to find the temperature at which benzene melts.
T = (9.95 x 10^3 J/mol) / (35.7 J/K.mol)
Now, let's calculate the temperature.