, Solutions Manual for
Advanced Engineering Thermodynamics
Third Edition
Adrian Bejan
J. A Jones Distinguished Professor of Mechanical Engineering
Duke University
2006
, CONTENTS
Chapter Page
1. The First Law of Thermodynamics 1-1
2. The Second Law of Thermodynamics 2-1
3. Entropy Generation, or Exergy Destruction 3-1
4. Single-Phase Systems 4 -1
5. Exergy Analysis 5 -1
6. Multi-Phase Systems 6-1
7. Chemically Reactive Systems 7 -1
8. Power Generation 8-1
9.
Solar Power 9-1
10.
Refrigeration 10-1
11.
Thermodynamic Optimization 11 -1
12.
Irreversible Thermodynamics 12-1
13.
The Constructal Law of Flow Configuration Generation 13 -1
This solutions manual was typed by Kathy Vickers, Linda Hayes and Deborah Fraze.
Adrian Bejan
January 2006
, Chapter 1
THE FIRST LAW OF THERMODYNAMICS
Problem 1.1 (a) Wi-f = f PdV= P1 V2. Next, to calculate Tr we note that from (i) to (f) we have
dM _h
dt
"=--w+an,
where rh is the instantaneous flowrate into the cylinder, and M and U are the mass and energy
inventories of the system (the "system" is the cylinder volume). Integrating in time,
Mr-Mi= f Ihdt
(1)
and recognizing that U; = 0 and M; = 0, the first law reduces to
(1)
For the "ideal gas" working fluid we write
Ur=Mrc (Tr- To)
hi=c(Ti-To) +Pv;
hence, eq. ( 1') becomes
Mrc (T -To)= Mr[c (Ti- To) +Pvi]-P V2
Noting that V = Mrvr and dividing everything by Mr yields
c Tr+PI vr =c T +Pvy
or
c T;+ RT;=cT; +RT
in other words, Tr = Ti. The final ideal-gas mass admitted is
hence the goodness ratio
1-1
Advanced Engineering Thermodynamics
Third Edition
Adrian Bejan
J. A Jones Distinguished Professor of Mechanical Engineering
Duke University
2006
, CONTENTS
Chapter Page
1. The First Law of Thermodynamics 1-1
2. The Second Law of Thermodynamics 2-1
3. Entropy Generation, or Exergy Destruction 3-1
4. Single-Phase Systems 4 -1
5. Exergy Analysis 5 -1
6. Multi-Phase Systems 6-1
7. Chemically Reactive Systems 7 -1
8. Power Generation 8-1
9.
Solar Power 9-1
10.
Refrigeration 10-1
11.
Thermodynamic Optimization 11 -1
12.
Irreversible Thermodynamics 12-1
13.
The Constructal Law of Flow Configuration Generation 13 -1
This solutions manual was typed by Kathy Vickers, Linda Hayes and Deborah Fraze.
Adrian Bejan
January 2006
, Chapter 1
THE FIRST LAW OF THERMODYNAMICS
Problem 1.1 (a) Wi-f = f PdV= P1 V2. Next, to calculate Tr we note that from (i) to (f) we have
dM _h
dt
"=--w+an,
where rh is the instantaneous flowrate into the cylinder, and M and U are the mass and energy
inventories of the system (the "system" is the cylinder volume). Integrating in time,
Mr-Mi= f Ihdt
(1)
and recognizing that U; = 0 and M; = 0, the first law reduces to
(1)
For the "ideal gas" working fluid we write
Ur=Mrc (Tr- To)
hi=c(Ti-To) +Pv;
hence, eq. ( 1') becomes
Mrc (T -To)= Mr[c (Ti- To) +Pvi]-P V2
Noting that V = Mrvr and dividing everything by Mr yields
c Tr+PI vr =c T +Pvy
or
c T;+ RT;=cT; +RT
in other words, Tr = Ti. The final ideal-gas mass admitted is
hence the goodness ratio
1-1
