Statistical Thermodynamics
eBook - PDF

Statistical Thermodynamics

An Engineering Approach

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Statistical Thermodynamics

An Engineering Approach

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About This Book

Statistical Thermodynamics: An Engineering Approach covers in a practical, readily understandable manner the underlying meaning of entropy, temperature and other thermodynamic concepts, the foundations of quantum mechanics, and the physical basis of gas, liquid and solid phase properties. It presents simply the relationship between macroscopic and microscopic thermodynamics. In addition, the molecular basis of transport phenomena and chemical kinetics are explored, as are basic concepts in spectroscopy. Modern computational tools for solving thermodynamic problems are explored, and the student is assured that he or she will gain knowledge of practical usefulness. This essential text is suitable for mechanical or aerospace engineering graduate students who have a strong background in engineering thermodynamics, those entering advanced fields such as combustion, high temperature gas dynamics, environmental sciences, or materials processing, and those who wish to build a background for understanding advanced experimental diagnostic techniques in these or similar fields.

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Information

Publisher
Cambridge University Press
Year
2018
ISBN
9781108246354
Topic
Technology & Engineering
Subtopic
Mechanical Engineering
Index
Technology & Engineering
2.8
Alternative
Representations
–
Legendre
Transformations
23
thus
=
Y
−
zX
(2.69)
The
procedure
is
to
use
Eqs
(2.68)
and
(
2.69
)
to
eliminate
X
and
Y
in
Eq.
(2.66)
.
2.8.1
Example
2.1
Perform
the
forward
and
reverse
Legendre
transformation
for
Y
=
X
2
[2.8.1]
Then
z
=
2
X
Thus
Y
=
z
2
2
=
z
2
4
which
with
X
=
z
2
leads
to
=
z
2
4
−
z
2
2
=
−
z
2
4
For
the
reverse
problem
we
are
given
=
(
z
)
We
wish
to
recover
Y
=
Y
(
X
)
Since
=
Y
−
zX
we
can
write
d
=
dY
−
zdX
−
Xdz
but
dY
=
zdX
so
that
d
=
−
Xdz
or
−
X
=
d
dz
Use
this
relation
and
Eq.
[2.8.1]
to
eliminate
z
and
.
Using
our
example,
−
X
=
−
z
2
thus
Y
=
X
2

Table of contents

  1. Cover
  2. Half-title
  3. Title page
  4. Copyright information
  5. Brief Contents
  6. Contents
  7. List of Figures
  8. List of Tables
  9. Preface
  10. Comment on Software
  11. Acknowledgments
  12. 1 Introduction
  13. 2 Fundamentals of Macroscopic Thermodynamics
  14. 3 Microscopic Thermodynamics
  15. 4 Quantum Mechanics
  16. 5 Ideal Gases
  17. 6 Ideal Gas Mixtures
  18. 7 The Photon and Electron Gases
  19. 8 Dense Gases
  20. 9 Liquids
  21. 10 Crystalline Solids
  22. 11 Thermodynamic Stability and Phase Change
  23. 12 Kinetic Theory of Gases
  24. 13 Spectroscopy
  25. 14 Chemical Kinetics
  26. Appendices
  27. References
  28. Index