The following equation of state describes the behavior of a certain fluid: 

where the constants are a = 10⁻³ m³ K/(bar mol) = 102 (J K)/(bar2 mol) and b = 8 × 10⁻⁵ m³/mol. Also, for this fluid the mean ideal gas constant-pressure heat capacity, C_P, over the temperature range of 0 to 300°C at 1 bar is 33.5 J/(mol K). 

a. Estimate the mean value of C_P over the temperature range at 12 bar.

b. Calculate the enthalpy change of the fluid for a change from P = 4 bar, T = 300 K to P = 12 bar and T = 400 K. 

c. Calculate the entropy change of the fluid for the same change of conditions as in part (b).

Transcribed Image Text:

P(Vb) = RT + ap² T