Reversible Clapeyron cycle efficiency

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The discussion focuses on deriving the efficiency of the reversible Clapeyron cycle, which is similar to the Carnot cycle but incorporates isobaric processes instead of adiabatic ones. Participants are encouraged to draw the Clapeyron cycle and derive its efficiency using the equation e=1-(QL/QH). A user expresses uncertainty about starting the derivation but considers using heat flow equations for the isobaric processes. Another contributor suggests incorporating heat flow from the isothermal parts using the first law of thermodynamics to complete the efficiency calculation. The conversation emphasizes the importance of accounting for all heat flows in the cycle to accurately derive its efficiency.
garyd
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Homework Statement


The Clapeyron cycle efficiency is similar to the Carnot cycle except that two adiabatic paths are replaced with isobaric processes

a) based on the above information, draw a Clapeyron cycle.

b)Derive the efficiency of the reversible Clapeyron cycle


Homework Equations




e=1-(QL/QH)

The Attempt at a Solution



part a) see attachment

b) I really don't know where to start with this,

I am thinking of using QL=nCp(Td-Ta) & QH=nCp(Tc-Tb) as a starting point.

Any help would be greatly appreciated.
 

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garyd said:

Homework Statement


The Clapeyron cycle efficiency is similar to the Carnot cycle except that two adiabatic paths are replaced with isobaric processes

a) based on the above information, draw a Clapeyron cycle.

b)Derive the efficiency of the reversible Clapeyron cycle


Homework Equations




e=1-(QL/QH)

The Attempt at a Solution



part a) see attachment

b) I really don't know where to start with this,

I am thinking of using QL=nCp(Td-Ta) & QH=nCp(Tc-Tb) as a starting point.

Any help would be greatly appreciated.
You have the right idea but you are missing the heat flow in the isothermal parts. Use the first law to write the expression for heat flow in/out for the isothermal parts and add that to the heat flows you have found at constant P to find the total heat flow in (Qh) and out (Qc) and use your expression for efficiency.

AM
 
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