Reversible processes need to be ONLY isothermal or adiabatic?

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SUMMARY

All reversible processes do not need to consist solely of isothermal and adiabatic transformations. While the Carnot cycle exemplifies this principle, other cycles such as isobaric (constant pressure) and isochoric (constant volume) can also be reversible. For a process to be reversible, it must be quasi-static, devoid of dissipative forces, and maintain an infinitesimal temperature difference during heat flow. Theoretical considerations suggest that a reversible Otto cycle could be achieved by maintaining this infinitesimal temperature difference during isochoric heat transfers.

PREREQUISITES
  • Understanding of thermodynamic cycles, specifically the Carnot cycle
  • Knowledge of quasi-static processes in thermodynamics
  • Familiarity with concepts of isothermal and adiabatic transformations
  • Basic principles of heat transfer and temperature differentials
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  • Research the principles of isobaric and isochoric processes in thermodynamics
  • Study the theoretical framework of reversible Otto cycles
  • Explore the concept of infinitesimal temperature differences in heat transfer
  • Investigate practical applications of quasi-static processes in engineering
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jaumzaum
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My question is: Do ALL the reversible process need to be composed of ONLY isothermal and adiabatic transformations? Carnot cycle satisfy this, but what other cycle would be also reversible?
I know that for a process to be reverisble it has to be almost-static, have no dissipative force, and no heat and finite temperature variation simultaneously. Does it imply only isothermal and adiabatic?
 
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All the reversible process need to be quasi-static. Are there neither adiabatic nor isothermal quasi-static process ? I think so, but cannot show you a good example now.
 
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No, there are reversible processes like isobaric(constant pressure) or isochoric (constant volume). Generally any process which is quasi static meaning that for each time instant of the process, the gas is in thermodynamic equilibrium, which means that the pressure (and temperature and probably density) of the gas has the same value across the whole region of the gas.
 
jaumzaum said:
My question is: Do ALL the reversible process need to be composed of ONLY isothermal and adiabatic transformations? Carnot cycle satisfy this, but what other cycle would be also reversible?
I know that for a process to be reverisble it has to be almost-static, have no dissipative force, and no heat and finite temperature variation simultaneously. Does it imply only isothermal and adiabatic?
In order for a thermodynamic cycle to be reversible all heat flow must occur at an infinitesimal temperature difference between the system and surroundings (which is what theoretically occurs in the isothermal part of the idealized Carnot cycle). If the system is using constant temperature reservoirs for heat flow to and from the system, then this necessarily requires isothermal heat flow.

Theoretically one could have a reversible Otto cycle if one could figure out a way of maintaining an infinitesimal temperature difference between the system and surroundings for the heat flow at constant volume (isochoric). One could approach that idealized situation with a series of reservoirs with slightly different temperatures in contact with the system to permit the isochoric heat transfers. See the discussion in this PF thread.

AM
 
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