Problem 5.3:
Following a procedure analogous to that in Example 5.2, obtain an expression for the coefficient of thermal expansion based on the van der Waals equation of state. Use the result to calculate the value of β for oxygen at 20 °C, 30 bar.
Problem 5.4:
Using the volume-temperature relationship for liquid acetone in Example 5.6 calculate the amount of heat and work involved when acetone is compressed isothermally and reversibly from 1 bar, 20
°C to 10 bar.
Problem 5.5:
Estimate the constant-pressure heat capacity of oxygen at - 50 °C, 38 bar, using the truncated virial equation. Hint: Use the truncated virial to calculate the enthalpy at two pressures near - 50 °C, 38 bar, then obtain the heat capacity by numerical differentiation.