1 kg of air undergoes a thermodynamic cycle consisting of three processes. Process 1-2: constant volume while heat is added, Process 2-3: constant temperature expansion, Process 3-1: constant pressure compression,  at state 1, the temperature is 300 K, and pressure is 100 kPa. At state 2, the pressure is 200 kPa.     Employing the ideal gas law and assuming constant specific heat at room temperature: Calculate the boundary work for the cycle in kJ. Calculate the amount of heat transferred in each process (1-2, 2-3, and 3-1) and for the whole cycle (kJ

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1 kg of air undergoes a thermodynamic cycle consisting of three processes.

Process 1-2: constant volume while heat is added, Process 2-3: constant temperature expansion, Process 3-1: constant pressure compression,  at state 1, the temperature is 300 K, and pressure is 100 kPa. At state 2, the pressure is 200 kPa.   

 Employing the ideal gas law and assuming constant specific heat at room temperature:

  1. Calculate the boundary work for the cycle in kJ.
  2. Calculate the amount of heat transferred in each process (1-2, 2-3, and 3-1) and for the whole cycle (kJ).
2) 1 kg of air undergoes a thermodynamic cycle consisting of three processes.
Process 1-2: constant volume while heat is added, Process 2-3: constant temperature expansion,
Process 3-1: constant pressure compression, at state 1, the temperature is 300 K, and pressure is
100 kPa. At state 2, the pressure is 200 kPa.
Employing the ideal gas law and assuming constant specific heat at room temperature:
a. Determine the temperature at state 2, in K.
b. Determine the specific volume at state 3, in m³/kg.
c.
Sketch the cycle on P-v diagram.
d.
Calculate the boundary work for the cycle in kJ.
e. Calculate the amount of heat transferred in each process (1-2, 2-3, and 3-1) and for the
whole cycle (kJ).
Air (1kg)
T₁
P₁
V
1
Transcribed Image Text:2) 1 kg of air undergoes a thermodynamic cycle consisting of three processes. Process 1-2: constant volume while heat is added, Process 2-3: constant temperature expansion, Process 3-1: constant pressure compression, at state 1, the temperature is 300 K, and pressure is 100 kPa. At state 2, the pressure is 200 kPa. Employing the ideal gas law and assuming constant specific heat at room temperature: a. Determine the temperature at state 2, in K. b. Determine the specific volume at state 3, in m³/kg. c. Sketch the cycle on P-v diagram. d. Calculate the boundary work for the cycle in kJ. e. Calculate the amount of heat transferred in each process (1-2, 2-3, and 3-1) and for the whole cycle (kJ). Air (1kg) T₁ P₁ V 1
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