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Problem 3: A piston cylinder initially contains 3 kg of CO2 at 500kPa. The cylinder is connected by a valve to a 0.5m^3 rigid tank that is initially at 200kPa. The weight of the piston and atmosphere above it maintains a pressure of 500 kPa on the gas in the cylinder. The valve initially maintains the pressure difference between the cylinder and the tank, but a SLOW
leak through the valve results in the piston moving downward until the final pressure in the tank is 500kPa. Due to heat transfer between the system and the surroundings, the temperature in both chambers changes from 17C initially to a final temperature of 37C. The CO2 is assumed to be an ideal gas (Mol Wt = 44g/mol) with Cv=0.657 kJ/kg*K. The ideal gas constant is 8.314 kJ/kmol*K.
Determine the work and heat transfer in kJ.
Show transcribed image text Problem 3: A piston cylinder initially contains 3 kg of CO2 at 500kPa. The cylinder is connected by a valve to a 0.5m^3 rigid tank that is initially at 200kPa. The weight of the piston and atmosphere above it maintains a pressure of 500 kPa on the gas in the cylinder. The valve initially maintains the pressure difference between the cylinder and the tank, but a SLOW leak through the valve results in the piston moving downward until the final pressure in the tank is 500kPa. Due to heat transfer between the system and the surroundings, the temperature in both chambers changes from 17C initially to a final temperature of 37C. The CO2 is assumed to be an ideal gas (Mol Wt = 44g/mol) with Cv=0.657 kJ/kg*K. The ideal gas constant is 8.314 kJ/kmol*K. Determine the work and heat transfer in kJ.
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