Chapter 13, Problem 96IAE

Use the following data to estimate, $\text{S}°\left[{\text{C}}_{\text{6}}{\text{H}}_{\text{6}}\left(\text{g,1}\text{atm}\right)\right]$ at 298.15 K. For ${\text{C}}_{\text{g}}{\text{H}}_{\text{g}}\left(\text{s,}\text{1}\text{atm}\right)$ at its melting point of $5.53°\text{C}$ , $\text{S°}$ is 128.82 J mol-1 K-1, The enthalpy of fusion is 9.866 kJ mol-1, From the melting point to 298.15 K, the average heat capacity of liquid benzene is 134.0 J mol-1 K-1. The enthalpy of vaporization of ${\text{C}}_{\text{6}}{\text{H}}_{\text{6}}\left(\text{l}\right)$ at 298.15 K is 33.85 kJ mol-1, and in the vaporization, ${\text{C}}_{\text{6}}{\text{H}}_{\text{4}}\left(\text{g}\right)$ is producsed at a pressure of 95.13 Torr. Imagine that this vapor could be compressed to 1 atm pressure without condensing and while behaving as an ideal gas. [Hint: Refer to the preceding exercise, and note the following: For infinitesimal quantities, $dS\text{=}\delta q/dT$ ; for the isothermal compression of an ideal gas $\delta q=-dW$ ; and for pressure-volume work, $\delta w=-PdV$ .