10.40 Fall 2003
Thermodynamics
Exam 2
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 6 problems.
1.
(20 points) For a 1 mole molecular system that can only occupy any of 4 different
states:
E
3
= 11 kcal/mol
E
2
= 8 kcal/mol
E
1
= 8 kcal/mol
E
o
= 3 kcal/mol
(a)
(4 points) What is
U
at
T
= 300 K?
(b)
(4 points) What is the probability that a given snapshot of the system will have
an energy of 3 kcal/mol at 300 K?
(c)
(4 points) If each energy state is increased by 2 kcal/mol, what is the
probability that a given snapshot of the system will have an energy of 3
kcal/mol at 300 K?
(d)
(4 points) What is
U
as
T
gets very large?
(e)
(4 points) What is
U
as
T
gets very small?
2.
(10 points) Imagine a lattice consisting of
10000
sites filled with
3000
indistinguishable particles at temperature
T
. Only one particle can reside at each
lattice site and there is no energy of interaction between particles of any type.
The
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 Fall '04
 ClarkColton
 Thermodynamics, Atom, Energy, Statistical Mechanics

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