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Isothermal processes C 3T Ti DI V 2V Vi

Isothermal processes C 3T Ti DI V 2V Vi

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In 1816, Robert Stirling, a Scottish clergyman, patented the Stirling engine, which has found a wide variety of applications ever since, including current use in solar energy collectors to transform sunlight into electricity. Fuel is burned externally to warm one of the engine's two cylinders. A fixed quantity of inert gas moves cyclically between the cylinders, expanding in the hot one and contracting in the cold one. The figure below represents a model for its thermodynamic cycle. Consider n moles of an ideal monatomic gas being taken once through the cycle, consisting of two isothermal processes at temperatures 3Ti and Ti and two constant-volume processes. Let us find the efficiency of this engine. (Use any variable or symbol stated above along with the following as necessary: R.)

 
(a) Find the energy transferred by heat into the gas during the isovolumetric process AB.
QAB = 
 
 
(b) Find the energy transferred by heat into the gas during the isothermal process BC.
QBC = 
 

(c) Find the energy transferred by heat into the gas during the isovolumetric process CD.
QCD = 
 
 
(d) Find the energy transferred by heat into the gas during the isothermal process DA.
QDA = 


(e) Evaluate the energy input to the engine by heat.
Qh = 
 
(f) From the first law of thermodynamics, find the work done by the engine.
W = 
 
Isothermal processes C 3T Ti DI V 2V Vi
Transcribed Image Text:Isothermal processes C 3T Ti DI V 2V Vi
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