Complete Analysis of Heat Engine Goal Solve for the efficiency of a heat engine using a five-step process the includes: 1. Making a state table. 2. Making a process table. 3. Calculating the totals for Work, Heat, and Internal-Energy-Change. 4. Identifying the heat input (hot reservoir) and output (cold reservoir). 5. Calculating the efficiency of the engine. Problem Shown in the figure to the right is a cyclic process undergone by a heat engine. Your heat engine shall use 9.0 moles of nitrogen gas (diatomic). During the process a->b, the pressure rises by a factor of 2.0. Solution (1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K). (2) Fill in the Process Table (all entries in Joules). (3) Find the Totals: (4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir"): (5) Find the efficiency of the engine: a b C Pressure a->b b->c c->a Work Work = Heat = dU = Q-hot = Q-cold = efficiency = P T₁ Volume P₁ = 100,000 Pa Engine Cycle Heat J J J = 300 K J J % isothermal du с Temperature V
Complete Analysis of Heat Engine Goal Solve for the efficiency of a heat engine using a five-step process the includes: 1. Making a state table. 2. Making a process table. 3. Calculating the totals for Work, Heat, and Internal-Energy-Change. 4. Identifying the heat input (hot reservoir) and output (cold reservoir). 5. Calculating the efficiency of the engine. Problem Shown in the figure to the right is a cyclic process undergone by a heat engine. Your heat engine shall use 9.0 moles of nitrogen gas (diatomic). During the process a->b, the pressure rises by a factor of 2.0. Solution (1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K). (2) Fill in the Process Table (all entries in Joules). (3) Find the Totals: (4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir"): (5) Find the efficiency of the engine: a b C Pressure a->b b->c c->a Work Work = Heat = dU = Q-hot = Q-cold = efficiency = P T₁ Volume P₁ = 100,000 Pa Engine Cycle Heat J J J = 300 K J J % isothermal du с Temperature V
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter12: Thermal Energy
Section: Chapter Questions
Problem 80A
Related questions
Question
Transcribed Image Text:Complete Analysis of Heat Engine
Goal Solve for the efficiency of a heat engine using a five-step process the
includes:
1. Making a state table.
2. Making a process table.
3. Calculating the totals for Work, Heat, and Internal-Energy-Change.
4. Identifying the heat input (hot reservoir) and output (cold reservoir).
5. Calculating the efficiency of the engine.
Problem Shown in the figure to the right is a cyclic process undergone by
a heat engine. Your heat engine shall use 9.0 moles of nitrogen gas
(diatomic). During the process a->b, the pressure rises by a factor of 2.0.
Solution
(1) Fill in the State Table (all pressures in Pascals, all
volumes in cubic meters, all temperatures in K).
(2) Fill in the Process Table (all entries in Joules).
(3) Find the Totals:
(4) Find the heat input (from "hot reservoir") and
the heat output (to "cold reservoir"):
(5) Find the efficiency of the engine:
a
b
C
Pressure
a->b
b->c
c->a
Work
Work
Heat =
dU =
Q-hot =
Q-cold =
efficiency:
P
Volume
Heat
T₂ = 300 K
P₁ = 100,000 Pa
Engine Cycle
J
J
J
b
J
J
a
%
isothermal
Temperature
du
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Given:
VIEWStep 2: 1. Making a state table;
VIEWStep 3: 1. Making a state table;
VIEWStep 4: 2. Making a process table.
VIEWStep 5: 3. To calculating the totals for Work, Heat, and Internal-Energy-Change.
VIEWStep 6: 4. The heat input (hot reservoir) and output (cold reservoir). 5. The efficiency of the engine
VIEWSolution
VIEW
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 59 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
(4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir")
**The answer above for Q-cold (78567.6 J) is incorrect**
Also part c of the table is not complete. Missing part c
Transcribed Image Text:(1) Fill in the State Table (all pressures in Pascals, all
volumes in cubic meters, all temperatures in K).
a
C
Pressure
100000
200000
Volume
0.22448
0.22448
Temperature
300
600
Solution
by Bartleby ExpertKnowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College