Stirling Cycle – Process Composition Check A Stirling cycle consists of two isothermal processes and two constant-volume (isochoric) regenerative processes.

Difficulty: Easy

Correct Answer: two constant volume

Explanation:


Introduction / Context:
The Stirling cycle is a classic external-combustion, closed-cycle model employing regeneration. Understanding its process makeup clarifies how it can, in principle, approach Carnot efficiency with perfect regeneration and isothermal heat exchange.


Given Data / Assumptions:

  • Ideal gas working fluid.
  • Two isothermal processes at T_H and T_L.
  • Two isochoric regenerative processes that shuttle heat internally.


Concept / Approach:

The Stirling sequence: isothermal compression at T_L with heat rejection to a sink, constant-volume regenerative heating, isothermal expansion at T_H with heat addition from a source, and constant-volume regenerative cooling back to T_L. The constant-volume steps store/recover heat in the regenerator matrix, minimizing external heat transfer at intermediate temperatures.


Step-by-Step Solution:

Identify the two isotherms: expansion at T_H and compression at T_L.Recognize the remaining two legs are at constant volume (regeneration steps).Confirm no isentropic (adiabatic and reversible) legs appear in the ideal Stirling cycle.Thus, the correct completion is “two constant volume”.


Verification / Alternative check:

T–s and p–v diagrams of the ideal Stirling show horizontal isotherms and vertical isochors; the regenerator provides internal heat interchange between those isochors.


Why Other Options Are Wrong:

Constant-pressure and isentropic legs characterize Brayton/Ericsson or Otto/Diesel cycles, not Stirling. Mixed CP/CV is not Stirling either.


Common Pitfalls:

Confusing Stirling with Ericsson (which has constant-pressure, not constant-volume, regeneration) or Brayton (adiabatic compression/expansion).


Final Answer:

two constant volume

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