WS T5 (rev. 3.0) 4. Page 29 A heat engine uses an ideal gas of N monatomic particles as its working substance. The engine runs on the following four-step cycle. 2po Transformation 1--2 is isobaric Transformation 2-3 is adiabatic Transformation 3-4 is isobaric Transformation 4-1 is isochoric Po 4. V Vo 3V.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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WS T5 (rev. 3.0)
4.
Page 29
A heat engine uses an ideal gas of N
monatomic particles as its working substance.
The engine runs on the following four-step
cycle.
1
2po
Transformation 1+2 is isobaric
Transformation 2-3 is adiabatic
Transformation 3-4 is isobaric
Transformation 4-1 is isochoric
Po
4
3
Vo
3V.
Find the efficiency of this engine. You may find it helpful to organize your work as follows::
Step
1- 2
AEnet
W
Q
6 PoVo
-2.18 PoVu
2. 18 PaVu
-3.55 POvu
23
-8.87RU
1S Peva
3 - 4
-s.32 Pov
1.s Povo
4 -1
2.63Pve
Wnet
Qin
b) Where in this cycle does the gas reach its
highest and lowest temperatures? Find these
extreme temperatures. (Your answers should
be in terms of po, Vo, and N.)
d) Are your answers consistent with the fact that
the Carnot engine is the most efficient engine
possible? *
c) What would be the efficiency of a Carnot
engine operating between these two
temperatures?
"T-S1. Ideal Gas
Now would be a good time to turn to the supplimentary worksheets
Transformations" and "T-S2. Efficiency of the Carnot Engine, The Long Way" and work through the
problems.
Transcribed Image Text:WS T5 (rev. 3.0) 4. Page 29 A heat engine uses an ideal gas of N monatomic particles as its working substance. The engine runs on the following four-step cycle. 1 2po Transformation 1+2 is isobaric Transformation 2-3 is adiabatic Transformation 3-4 is isobaric Transformation 4-1 is isochoric Po 4 3 Vo 3V. Find the efficiency of this engine. You may find it helpful to organize your work as follows:: Step 1- 2 AEnet W Q 6 PoVo -2.18 PoVu 2. 18 PaVu -3.55 POvu 23 -8.87RU 1S Peva 3 - 4 -s.32 Pov 1.s Povo 4 -1 2.63Pve Wnet Qin b) Where in this cycle does the gas reach its highest and lowest temperatures? Find these extreme temperatures. (Your answers should be in terms of po, Vo, and N.) d) Are your answers consistent with the fact that the Carnot engine is the most efficient engine possible? * c) What would be the efficiency of a Carnot engine operating between these two temperatures? "T-S1. Ideal Gas Now would be a good time to turn to the supplimentary worksheets Transformations" and "T-S2. Efficiency of the Carnot Engine, The Long Way" and work through the problems.
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