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A reversible thermodynamic cycle containing only three processes and producing work is to be constructed. The constraints are: (a) there must be one isothermal process, (b) there must be one isentropic process, (c) the maximum and minimum cycle pressures and the clearance volumes are fixed, and (d) polytropic processes are not allowed. Then the numbers of possible cycles are

A reversible thermodynamic cycle containing only three processes and producing work is to be constructed. The constraints are: (a) there must be one isothermal process, (b) there must be one isentropic process, (c) the maximum and minimum cycle pressures and the clearance volumes are fixed, and (d) polytropic processes are not allowed. Then the numbers of possible cycles are Correct Answer 4

Concept:

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PVn = C

  • n = 0 ⇒ P = C ⇒ Constant Pressure Process (Isobaric Process)
  • n = 1 ⇒ PV = C ⇒ Constant Temperature Process (Isothermal process)
  • n = γ ⇒ PVγ = C ⇒ Adiabatic Process
  • n = ∞ ⇒ V = C ⇒ Constant Volume Process (Isochoric process)

 

According to the question:

The constraints are: (a) there must be one isothermal process, (b) there must be one isentropic process, (c) the maximum and minimum cycle pressures and the clearance volumes are fixed, and (d) polytropic processes are not allowed.

[ alt="4738 1" src="//storage.googleapis.com/tb-img/production/old/4738_1.png" style="float:left; height:140px; width:200px">

 

 

 

 

 

[ alt="4738 2" src="//storage.googleapis.com/tb-img/production/old/4738_2.png" style="height: 140px; width: 200px;">

[ alt="4738 3" src="//storage.googleapis.com/tb-img/production/old/4738_3.png" style="height: 140px; width: 200px;">

[ alt="4738 4" src="//storage.googleapis.com/tb-img/production/old/4738_4.png" style="height: 140px; width: 200px;">

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