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NAME
and
Section No.
1
Chemistry 391
Fall 2007
Exam I KEY (Monday September 17)
1. (25 Points) ***Do
5
out of
6
***(If 6 are done only the first 5 will be graded)***
a). Define the terms: open system, closed system and isolated system in terms of flows
between a system and its surroundings.
Open: matter can transfer between system and surroundings.
Closed: matter can
not
transfer between system and surroundings.
Isolated: no transfer of anything between system and surroundings.
b). Classify the energy and the square of the pressure as intensive, extensive or neither:
Explain your reasoning.
Energy is intensive since it is proportional to the number of atoms in the material. The
pressure is independent of the system size so it is intensive. Taking its square does not
change this feature.
c). What is the condition for thermal equilibrium between ten thousand systems?
The temperatures of all ten thousand systems must have the same value.
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NAME
and
Section No.
2
d). Define mathematically the relationship between an
exact differential
and a
state
function
with two independent variables.
In order for a function
f
(
x,y
) to be a state function, it must be possible to write the total
differential
df
in the form
y
x
ff
df
dx
dy
xy
⎛⎞
∂∂
=+
⎜⎟
⎝⎠
. If the form
df
as written exists, it is
an exact differential.
e). Two ideal gas systems undergo reversible expansions starting from the same
P
and
V
.
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 Spring '08
 Cuckier
 Thermodynamics, ∂T ⎠V, ∂V ⎠T

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