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Two kilograms of carbon dioxide gas (CO, molecular mass = 44) in a piston-cylinder assembly, initially at p = 100 kPa and T1 =

 

Two kilograms of carbon dioxide gas (CO, molecular mass = 44) in a piston-cylinder assembly, initially at p = 100 kPa and T1 = 300 K, undergoes polytropic compression until its final volume is 40% of its initial volume (V = 0.4*V1). The process is described by pV 1.2 = constant and the carbon dioxide gas is assumed to be an ideal gas. Changes in kinetic and potential energy are negligible. The specific heats of CO2 are not constant. a. What is the final temperature of the system? (Hint: use the relationships between T, and V for an Ideal Gas Law undergoing a polytropic process, see L05 Ideal Gas Model) b. Evaluate the work involved in the process, in kJ. Did the system do work? c. How much did the internal energy of the CO2 gas change in the process, in kJ? d. How much heat was exchanged with the surroundings during the process, in kJ? Was heat added or removed from the system?

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