Question

What is the coefficient of thermal expansion for a substance that was originally 1.449 m long at 24.537 oC and expands to 3.439 at 95.214?

Answer #1

2 a)How is the thermal coefficient of linear expansion
determined experimentally?
b)What are the units of the thermal coefficient of
linear expansion?
c)What is meant by the fractional change in
length?

The coefficient of thermal area expansion for a
material is
(3α) that means 3 times its coefficient of thermal linear
expansion (α).
(4α) that means 4 times its coefficient of thermal linear
expansion (α).
(2α) that means 2 times its coefficient of thermal linear
expansion (α).

A metal ball that is 1.4 m in diameter expands by 2.5 mm when
the temperature is increased by 95 ∘C.
a) What is the coefficient of thermal expansion for the
ball?
b) What substance is this ball likely made from?

Consider steel for which Young's modulus, E = 210 GPa, and the
coefficient of thermal expansion, α = 12 x 10-6 /°C.
a) A steel bridge of length L = 1500 m experiences temperature
excursions of 90°C during the year. Suppose there is no horizontal
constraint at the end supports. What is the change in length? What
is the thermal stress? What are the practical implications of
horizontal constraints for an actual bridge structure?
b) A steel bar is rigidly...

1. What does a (alpha), the coefficient of linear expansion,
tell us about a substance? Can a (alpha) be negative? Explain what
this means. Can it be zero? Explain.
2. What material has the grater coefficient of linear expansion,
aluminum or brass?
3. In general, what would a negative number for the value of a
(alpha) mean? Name a common substance which exibits this behavior
and under what conditions. (Hint: it is a liquid)

Find an expression for the coefficient of thermal expansion 1.
for an ideal gas 2. for van der waals
show all your work

Briefly describe the relationship between the thermal
conductivity, k, and the average coefficient of linear expansion,
α, for a given material.

Power lines have sag in part to accommodate the thermal
expansion and contraction that they experience over the course of a
day. If copper has a coefficient of thermal expansion of
17x10-6 m/o C and a powerline has a length of
10 m at 15o C, what would its change in length be in the
middle of a Florida summer, where the temperature is 98o
F?

A group of 15 students has performed an experiment, they
measured the coefficient of thermal expansion for aluminum. The
results are as follows (10-6 K-1).
22.0
25.0
25.6
22.2
22.7
24.9
24.9
20.8
26.1
23.7
23.5
20.1
21.4
22.8
20.4
At what level of significance do the students fail to reject the
hypothesis that the mean coefficient value is the same as the table
value of 22.2×10-6 K-1?
0.1
0.5
0.8
0.2

The density of glycerin at 25◦C is 1.26201 × 103 kg/m3. Its
thermal volume expansion coefficient is 4.85 × 10−4 ◦C−1. Imagine
that I have a 1 cm diameter ball of some material with a density of
1.27000 × 103 kg/m3 and a linear thermal expansion coefficient of
2.25 × 10−4 ◦C−1 sitting in one liter (0.001 m3) of 25◦C
glycerin.
(a) How much do I have to change the temperature of the glycerin
and the ball to make the...

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