Carnot theorem and efficiency - thermodynamics, Mechanical Engineering

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Carnot Theorem:

No heat engine operating in cycle between the two given thermal reservoir, having fixed temperature can be more efficient than reversible engine operating between same thermal reservoir.

* Thermal efficiency  η th  = Work out/Heat supplied

* Thermal efficiency of a reversible engine (  ηrev)

ηrev= (T1  - T2)/T1  ;

* No engine can be much efficient than reversible carnot engine that is ηrev > ηth

Carnot Efficiency

= (Heat added - Heat rejected) / Heat added = [mRT2lnV2/V1 - mRT4lnV3/V4]/ mRT2lnV2/V1

= 1- T1/T2

 


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