A relatively simple cubic equation of state is 

where a is a constant. 

a. Determine the relationship between the a and b parameters in this equation of state and the critical temperature and pressure of the fluid. 

b. Obtain an expression for the constant-volume heat capacity as a function of temperature, volume, the critical temperature and pressure, and the ideal heat capacity. 

c. The constant-volume heat capacities of real fluids diverge as the critical point is approached. Does the constant-volume heat capacity obtained from this equation of state diverge as the critical point is approached?

Transcribed Image Text:

P= RT V b- a √√TV2