One kilogram of saturated liquid methane at 160 K is placed in an adiabatic piston-and-cylinder device, and the piston will be moved slowly and reversibly until 25 percent of the liquid has vaporized. Compute the maximum work that can be obtained, assuming that methane is described by the Peng-Robinson equation of state. Compare your results with the solution to Problem 4.39.

Problem 4.39.

Redo Problem 6.7 with the Soave–Redlich-Kwong equation of state.

Problem 6.7

One hundred cubic meters of carbon dioxide initially at 150°C and 50 bar is to be isothermally compressed in a frictionless piston-and-cylinder device to a final pressure of 300 bar. Calculate

i. The volume of the compressed gas

ii. The work done to compress the gas

iii. The heat flow on compression assuming carbon dioxide

a. Is an ideal gas

b. Obeys the principle of corresponding states of Sec. 6.6

c. Obeys the Peng-Robinson equation of state

Transcribed Image Text:

P = RT aa Vm-b V2+2bVm – b²