Six kilograms of CO2 executes at Carnot cycle in a piston-cylinder assembly. The

Question

Six kilograms of CO2 executes at Carnot cycle in a piston-cylinder assembly. The minimum and maximum gas temperatures are 300 K and 900 K, respectively. The heat transfer to the CO2 during the isothermal expansion is 1200 kJ. At the end of the isothermal expansion the pressure is p3 = 800 kPa (assume that state 2 is the initial state of the isothermal expansion and state 3 is the final state of the isothermal expansion). After the adiabatic expansion from state 3 to state 4
the pressure is 14.73 kPa. Assume that CO2 is an ideal gas and use Table A-23 to evaluate the internal energy. For the Carnot cycle:
Process 1-2: Adiabatic compression to H T
Process 2-3: Isothermal expansion at H T , heat addition
Process 3-4: Adiabatic expansion to C T
Process 4-1: Isothermal compression at C T , heat rejection

(a) Determine the pressure (kPa) at states 1 and 2 and the volume (m3) of the gas at
states 1-4.
(b) Determine the work (kJ) and heat transfer (kJ) for each process above.
(c) Sketch the process on a p-V diagram.
(d) Calculate the thermal efficiency based on the net work and the heat addition calculated above. Check to make sure that it matches the Carnot efficiency

Explanation / Answer

during carnot cycle. efficiency n= 1-(Tl/Th)=(1-(300/900)) =2/3 so n=66.67%

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