A piston cylinder device has a volume of 0.04 m3 and initially contains air at 293 K and 1 bar.  This device is used to perform a cycle in which the gas is heated at a constant volume until the temperature reaches 1000 K.  The air is allowed to expand following an isothermal process until the volume is 3.5 times the original volume.  It is then cooled at a constant volume process.  The completion of the cycle is a PV1.36 = constant process back to the original state.  For the air, the specific heat is cv =0.79 kJ/(Kg K) = constant and its gas constant is RG=0.287 kJ/(Kg K).         Calculate the net work produced by this cycle, the required heat input to the cycle and its thermal efficiency. How much heat is removed from the system during the cycle? Could the heat removed from this cycle be used to heat or partial heat the water that is at an initial temperature of 298 K?  Would you recommend designing a heat recovery for this purpose?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A piston cylinder device has a volume of 0.04 m3 and initially contains air at 293 K and 1 bar.  This device is used to perform a cycle in which the gas is heated at a constant volume until the temperature reaches 1000 K.  The air is allowed to expand following an isothermal process until the volume is 3.5 times the original volume.  It is then cooled at a constant volume process.  The completion of the cycle is a PV1.36 = constant process back to the original state.  For the air, the specific heat is cv =0.79 kJ/(Kg K) = constant and its gas constant is RG=0.287 kJ/(Kg K).

       

  1. Calculate the net work produced by this cycle, the required heat input to the cycle and its thermal efficiency.
  2. How much heat is removed from the system during the cycle?

Could the heat removed from this cycle be used to heat or partial heat the water that is at an initial temperature of 298 K?  Would you recommend designing a heat recovery for this purpose? 

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