|Consider n moles of an ideal monatomic gas being taken once through the Carnot cycle of a thermal engine (motor), consisting of two isothermal processes 1-2, 3-4 at temperatures T1 = 400K and T2 = 300K and two adiabatic processes 2-3 and 4-1. Suppose that all processes are reversible. a) Sketch the graph of the cycle in P-V diagram. b) Calculate the heats of the processes 1-2, 3-4. c) Prove that the efficiency of the engine depends only on the temperature T1 and T2 and calculate it. d) Calculate the entropy difference of all processes. Solutions: a)

Elements Of Electromagnetics
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Consider n moles of an ideal monatomic gas being taken once through the
Carnot cycle of a thermal engine (motor), consisting of two isothermal processes 1-2, 3-4 at
temperatures T1 = 400K and T2 = 300K and two adiabatic processes 2-3 and 4-1. Suppose that all
processes are reversible.
a) Sketch the graph of the cycle in P-V diagram.
b) Calculate the heats of the processes 1-2, 3-4.
c) Prove that the efficiency of the engine depends only on the temperature T1 and T2 and calculate
it.
d) Calculate the entropy difference of all processes.
Solutions: a)
T,>T,
T.
T,
Transcribed Image Text:Consider n moles of an ideal monatomic gas being taken once through the Carnot cycle of a thermal engine (motor), consisting of two isothermal processes 1-2, 3-4 at temperatures T1 = 400K and T2 = 300K and two adiabatic processes 2-3 and 4-1. Suppose that all processes are reversible. a) Sketch the graph of the cycle in P-V diagram. b) Calculate the heats of the processes 1-2, 3-4. c) Prove that the efficiency of the engine depends only on the temperature T1 and T2 and calculate it. d) Calculate the entropy difference of all processes. Solutions: a) T,>T, T. T,
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