Use the following data to estimate, S°[C₆H₆(g, 1 atm)] at 298.15 K. For C₆H₆(s, 1 atm) at its melting point of 5.53 °C, 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 C₆H₆(l) at 298.15 K is 33.85 kJ mol^-1, and in the vaporization, C₆H₆(g) is produced 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. Refer to the preceding exercise, and note the following: For infinitesimal quantities, dS = δq/dT; for the isothermal compression of an ideal gas, δq = -dw; and for pressure–volume work, δw = -P dV.