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CH353
Homework assignment 2 (
due Thursday
Feb 19
)
1
. (10 points). Two identical blocks of the same material with temperature independent
heat capacities C
p
are brought together. Their initial temperatures are T
1
and T
2
,
T
1
< T
2
.
Heat exchange with the surroundings can be neglected. Some time later the temperature
of the first block was found to be
1
T
′
.
A. What is the temperature of the second block at the same time?
B. Calculate the entropy of the system (the two blocks) at this moment.
C. Show that a process such that
1
T
′
< T
1
would violate the 2
nd
law
D. Finally, find the maximum of the system’s entropy as a function of
1
T
′
.
Demonstrate that
1
T
′
corresponding to this maximum is, indeed, the
equilibrium temperature.
2
. n
1
moles of an ideal gas 1 are separated from n
2
moles of an ideal gas 2 by a partition
that does not conduct heat (see Figure below). The volumes occupied by the gases are V
1
and V
2
, respectively, and their temperatures are T
1
and T
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This note was uploaded on 09/06/2009 for the course CH 353M taught by Professor Lim during the Spring '08 term at University of Texas at Austin.
 Spring '08
 LIM
 Physical chemistry, pH

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