COMPENDIUM OF EQUATIONS
Unified Engineering Thermodynamics
Note:
It is with some reservation that I supply this compendium of equations. One of the
common pitfalls for engineering students is that they solve problems through
pattern matching rather than through applying the correct equation based upon a
foundation of conceptual understanding. This type of training does not serve the
students well when they are asked to perform higherlevel cognitive tasks such as
analysis, synthesis, and evaluation. Thus, while you are welcome to use this list as
a guide and a study aid, I expect you to be able to derive each of these equations
from their most general forms (e.g. work, the First Law, etc.). Do not settle for a
shallow understanding of this material.
I. Equation of State:
pv = RT or p =
ρ
RT
for a thermally perfect gas
II. Expressions for Work:
A. Work for a simple compressible substance
V
2
W
=
∫
p
ext
dV
V
1
B. Work for a simple compressible substance undergoing a quasistatic process
V
2
W
=
∫
pdV
V
1
C. Work for an isothermal, quasistatic process of a simple compressible substance
⎟
W
=
mRT
⋅
ln
⎛
⎜
v
2
⎞
⎟
=
mRT
⋅
ln
⎜
⎛
p
1
⎞
⎝
v
1
⎠
⎝
p
2
⎠
D. Work for an isobaric quasistatic process of a simple compressible substance
W = p(V
2
V
1
)
E. Work for a quasistatic adiabatic process
W =  (U
2
U
1
)
F. Work for quasistatic adiabatic process of an ideal gas
W = mc
v
(T
2
T
1
)
 1 
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentIII. Forms of the First Law of Thermodynamics
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '05
 MarkDrela
 Dynamics, Thermodynamics, Dh, simple compressible substance

Click to edit the document details