Expansion Practice Problems

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