The Stirling cycle (the cycle undergone by the gas inside the Stirling engine shown in the video in class) consists of the following processes: • A → B: Isochoric heating from a temperature TA to a temperature TB > TA. • B → C: Isothermal expansion from volume VA to a volume VC > VA. • C → D: Isochoric cooling from TC = TB to TD = TA. • D → A: Isothermal compression back to volume VA. Assume the gas can be treated as a monoatomic ideal gas and that there are n moles of gas in the engine. (a) Draw this cycle in a PV diagram. (b) Find the work done on the system and the energy transferred by heat to the system if TB = 2TA and VC = 3VB for each of the processes in this cycle. Write your answers in terms on n, R (the gas constant), TA, VA, or a subset of these quantities. (c) The efficiency of an engine is defined by η = WS/Qin, where WS is the net work done by the system in the cycle, and Qin is the net amount of energy going into the system (not counting the energy leaving the system by means of heat). Find the efficiency of this engine. Your answer should be a pure number.
The Stirling cycle (the cycle undergone by the gas inside the Stirling engine shown in the video in class)
consists of the following processes:
• A → B: Isochoric heating from a temperature TA to a temperature TB > TA.
• B → C: Isothermal expansion from volume VA to a volume VC > VA.
• C → D: Isochoric cooling from TC = TB to TD = TA.
• D → A: Isothermal compression back to volume VA.
Assume the gas can be treated as a monoatomic ideal gas and that there are n moles of gas in the engine.
(a) Draw this cycle in a PV diagram.
(b) Find the work done on the system and the energy transferred by heat to the system if TB = 2TA
and VC = 3VB for each of the processes in this cycle. Write your answers in terms on n, R (the
gas constant), TA, VA, or a subset of these quantities.
(c) The efficiency of an engine is defined by η =
WS/Qin, where WS is the net work done by the system
in the cycle, and Qin is the net amount of energy going into the system (not counting the energy leaving the system by means of heat). Find the efficiency of this engine. Your answer should be a
pure number.
I need help with part c, please!
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