Problem 5 PV diagram Consider the process shown in the PV diagram below for a monatomic ideal gas that undergoes a constant pressure expansion from point a to b, followed by a constant volume decrease in pressure from point b to c, followed by an isothermal compression back to point a again. The gas consists of N= 2 x 10 molecules, Pa= 6 atm, Va=3 m², and V%= 9 m’. Remember that latm = 10° Pa = 10° N/m², kg ~ 1023 J/K, and you may approximate log.(3) = In(3) ~ 1. a) How much work is done by the gas along the initial expansion from point a to point b? Please check your signs. b) What is the energy of the gas at point a? c) How much heat is exchanged with the gas along the path from a to b? State whether heat is added to or subtracted from the gas. d) How much work is done by the gas from point b to c? Please explain your answer or show your work. e) What is the pressure of the gas at point c? f) What is the temperature of the gas at point c? g) What is the net work done by the gas during one full cycle a→ b→ c→ a? h) What is the change in the entropy of the gas as it is compressed isothermally from point c to point a? i) What is the net change in entropy of the gas during one full cycle a→ b→ c→ a? Show your work or explain your answer.
Problem 5 PV diagram Consider the process shown in the PV diagram below for a monatomic ideal gas that undergoes a constant pressure expansion from point a to b, followed by a constant volume decrease in pressure from point b to c, followed by an isothermal compression back to point a again. The gas consists of N= 2 x 10 molecules, Pa= 6 atm, Va=3 m², and V%= 9 m’. Remember that latm = 10° Pa = 10° N/m², kg ~ 1023 J/K, and you may approximate log.(3) = In(3) ~ 1. a) How much work is done by the gas along the initial expansion from point a to point b? Please check your signs. b) What is the energy of the gas at point a? c) How much heat is exchanged with the gas along the path from a to b? State whether heat is added to or subtracted from the gas. d) How much work is done by the gas from point b to c? Please explain your answer or show your work. e) What is the pressure of the gas at point c? f) What is the temperature of the gas at point c? g) What is the net work done by the gas during one full cycle a→ b→ c→ a? h) What is the change in the entropy of the gas as it is compressed isothermally from point c to point a? i) What is the net change in entropy of the gas during one full cycle a→ b→ c→ a? Show your work or explain your answer.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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2010Q5: Please answer all parts in specific detail and explain each step with reasoning
Transcribed Image Text:Problem 5
PV diagram
Consider the process shown in the PV diagram below for a monatomic ideal gas that undergoes a
constant pressure expansion from point a to b, followed by a constant volume decrease in
pressure from point b to c, followed by an isothermal compression back to point a again. The gas
consists of N= 2 x 10 molecules, Pa = 6 atm, Va = 3 m', and V = 9 m’. Remember that latm =
10° Pa = 10° N/m², kp ~ 1023 J/K, and you may approximate log.(3) = In(3) ~ 1.
a) How much work is done by the gas along the initial expansion from point a to point b?
Please check your signs.
b) What is the energy of the gas at point a?
c) How much heat is exchanged with the gas along the path from a to b? State whether heat is
added to or subtracted from the gas.
d) How much work is done by the gas from point b to c? Please explain your answer or show
your work.
e) What is the pressure of the gas at point c?
f) What is the temperature of the gas at point c?
g) What is the net work done by the gas during one full cycle a→ b→ c→ a?
h) What is the change in the entropy of the gas as it is compressed isothermally from point c to
point a?
i) What is the net change in entropy of the gas during one full cycle a→ b→ c→ a? Show your
work or explain your answer.
P.
6atmt
3 m3
9m3
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