Expansion Practice Problems
Coefficients of Thermal Expansion
SUBSTANCE
COEFFICIENT OF
LINEAR EXPANSION
(
X
10
-
6
C
-
1
)
COEFFICIENT OF
VOLUME EXPANSION
(
X
10
-
6
C
-
1
)
Aluminum
24
Brass
19
Concrete
10
-
14
Copper
17
Glass (wind
ow)
9.0
Glass (Pyrex)
3.3
Granite
8.3
Ice
50
Lead
27
Steel or iron
12
Ethyl alcohol
1100
Gasoline
950
Mercury
182
Water
210
Antifreeze
108
Air & most gases
3400
1.
A brass rod is .500 m long at 20.0
C. What is the length of the rod
if it is heated
to 50.0
C?
2.
A steel beam 12.0m sits next to a concrete wall when the temperature is 20.0
C.
A gap must be left between the beam and the concrete wall for expansion
purposes. If the temperature rises to 45.0
C, how large must the gap be if
the
steel beam just touches the concrete wall?
3.
There are 500 m
3
of air in a shop at 20.
C. What is the difference in volume if the
temperature is 0
C?
4.
An metal rod .50 m is heated from 15
C to 95
C. The length of the rod increases
by 0.96 mm. What is th
e coefficient of expansion for the rod?
Answers
1. 2.85 x 10
-
4
m 2. 3.60 x 10
-
3
m 3. 34 m
3
4. 2.4 x 10
-
5
ºC
-
1
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