1. Carnot cycle efficiency. Consider 1 mol of an ideal gas in a piston-cylinder assembly. The gas undergoes a Carnot cycle, which is described below. The heat capacity, Cv is constant and equal to (3/2)R. The (4) steps are as follows: i. A reversible, isothermal expansion from 10 bar to 0.1 bar. ii. A reversible adiabatic expansion from 0.1 bar, 1000K, to 0.0049 bar and 300K. iii. A reversible isothermal compression at 300K to 0.49 bar. iv. A reversible adiabatic compression from 300K to 1000K and 10 bar. a) First, draw a diagram and label all 4 pieces of equipment and properties of all (4) states. b) Calculate Q, W and AU for all (4) steps (individually) in units of [J] c) Calculate Qtotal, Wtotal and AUtotal for the cycle. Comment on your results. d) Compare n(Carnot) and n(for this cycle). Comment on your result.
1. Carnot cycle efficiency. Consider 1 mol of an ideal gas in a piston-cylinder assembly. The gas undergoes a Carnot cycle, which is described below. The heat capacity, Cv is constant and equal to (3/2)R. The (4) steps are as follows: i. A reversible, isothermal expansion from 10 bar to 0.1 bar. ii. A reversible adiabatic expansion from 0.1 bar, 1000K, to 0.0049 bar and 300K. iii. A reversible isothermal compression at 300K to 0.49 bar. iv. A reversible adiabatic compression from 300K to 1000K and 10 bar. a) First, draw a diagram and label all 4 pieces of equipment and properties of all (4) states. b) Calculate Q, W and AU for all (4) steps (individually) in units of [J] c) Calculate Qtotal, Wtotal and AUtotal for the cycle. Comment on your results. d) Compare n(Carnot) and n(for this cycle). Comment on your result.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Carnot cycle efficiency.
Consider 1 mol of an ideal gas in a piston-cylinder assembly. The gas undergoes a Carnot cycle, which is
described below. The heat capacity, Cv is constant and equal to (3/2)R. The (4) steps are as follows:
i.
A reversible, isothermal expansion from 10 bar to 0.1 bar.
ii.
A reversible adiabatic expansion from 0.1 bar, 1000K, to 0.0049 bar and 300K.
iii.
A reversible isothermal compression at 300K to 0.49 bar.
iv.
A reversible adiabatic compression from 300K to 1000K and 10 bar.
a) First, draw a diagram and label all 4 pieces of equipment and properties of all (4) states.
b) Calculate Q, W and AU for all (4) steps (individually) in units of [J]
c) Calculate Qtotal, Wtotal and AUtotal for the cycle. Comment on your results.
d) Compare n(Carnot) and n(for this cycle). Comment on your result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02152486-4b3e-4971-933f-7bbbd61f61b8%2F281b76d2-8463-4704-b116-6f782d8df638%2F9j067w.jpeg&w=3840&q=75)
Transcribed Image Text:1.
Carnot cycle efficiency.
Consider 1 mol of an ideal gas in a piston-cylinder assembly. The gas undergoes a Carnot cycle, which is
described below. The heat capacity, Cv is constant and equal to (3/2)R. The (4) steps are as follows:
i.
A reversible, isothermal expansion from 10 bar to 0.1 bar.
ii.
A reversible adiabatic expansion from 0.1 bar, 1000K, to 0.0049 bar and 300K.
iii.
A reversible isothermal compression at 300K to 0.49 bar.
iv.
A reversible adiabatic compression from 300K to 1000K and 10 bar.
a) First, draw a diagram and label all 4 pieces of equipment and properties of all (4) states.
b) Calculate Q, W and AU for all (4) steps (individually) in units of [J]
c) Calculate Qtotal, Wtotal and AUtotal for the cycle. Comment on your results.
d) Compare n(Carnot) and n(for this cycle). Comment on your result.
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