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10.40 Fall 2003
Thermodynamics
Exam 1
9 to 11 am
Use of
Thermodynamics and Its Applicati
ons, 3
rd
ed. and 10.40 class notes and handouts
and a hand calculator are permitted. No other aids or documents are permitted.
Please
answer each question in a separate
exam book.
Be careful about managing your time and
be aware of the maximum points allotted to each part of the 3 problems.
1. (40 points) This is a 6 part problem worth a total of 40 points
(a)
(6 points) If for a given system, closed, with one component, we had a function
A
=
A
(
U
,
T
), could this function contain the equivalent amount of information as the
fundamental equation for intensive properties?
Briefly explain your answer.
(b)
(6 points) Express the following derivative in terms of measurable properties for a
single component:
T
G
A
∂
⎛⎞
⎜⎟
∂
⎝⎠
.
(c)
(6 points) Express
()
( ,
,
,
,
,...)
k
AB C
yf
P
S
N N
µ
=
in terms of a Legendre transform
of
H
= y
(0)
for an
n
component system.
Also express the total differential,
,
in terms of derived and primitive thermodynamic properties.
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 Fall '04
 ClarkColton

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