Solution Found!
The Carnot Cycle Figure shows an example of a Carnot
Chapter 18, Problem 95GP(choose chapter or problem)
The Carnot CycleFigure 18–31shows an example of a Carnot cycle. The cycle consists of the following four processes:
(1) an isothermal expansion from \(V_{1} \text { to } V_{2}\) at the temperature \(T_{k}\);
(2) an adiabatic expansion from \(V_{2} \text { to } V_{3}\) during which the tem-perature drops from \(T_{k} \text { to } T_{c}\)
(3) an isothermal compression from \(V_{3} \text { to } V_{4}\) at the temperature \(T_{c}\); and
(4) an adiabatic com-pression from \(V_{4} \text { to } V_{1} \) during which the temperature increases from \(T_{c} \text { to } T_{c}\). Show that the efficiency of this cycle is \(e=1-T_{c} / T_{h}\) as expected.
Equation Transcription:
Text Transcription:
V1 to V2
Tk
V2 to V3
Tk to Tc
V3 to V4
Tc
V4 to V1
Tc to Tc
e=1-Tc/Th
Questions & Answers
QUESTION:
The Carnot CycleFigure 18–31shows an example of a Carnot cycle. The cycle consists of the following four processes:
(1) an isothermal expansion from \(V_{1} \text { to } V_{2}\) at the temperature \(T_{k}\);
(2) an adiabatic expansion from \(V_{2} \text { to } V_{3}\) during which the tem-perature drops from \(T_{k} \text { to } T_{c}\)
(3) an isothermal compression from \(V_{3} \text { to } V_{4}\) at the temperature \(T_{c}\); and
(4) an adiabatic com-pression from \(V_{4} \text { to } V_{1} \) during which the temperature increases from \(T_{c} \text { to } T_{c}\). Show that the efficiency of this cycle is \(e=1-T_{c} / T_{h}\) as expected.
Equation Transcription:
Text Transcription:
V1 to V2
Tk
V2 to V3
Tk to Tc
V3 to V4
Tc
V4 to V1
Tc to Tc
e=1-Tc/Th
ANSWER:
Solution 95GP
Step 1 of 8
We have to show the efficiency of the Carnot cycle.
The diagram for the process is,