Answered: Isothermal processes C 3T Ti DI V 2V Vi

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Isothermal processes C 3T Ti DI V 2V Vi

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Question

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 3T_i and T_i 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.
Q_AB =

(b) Find the energy transferred by heat into the gas during the isothermal process BC.
Q_BC =

(d) Find the energy transferred by heat into the gas during the isothermal process DA.
Q_DA =

(e) Evaluate the energy input to the engine by heat.
Q_h =

(f) From the first law of thermodynamics, find the work done by the engine.
W =

Science that deals with the amount of energy transferred from one equilibrium state to another equilibrium state.

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