Year 9 Science · Unit 3 · Lesson 10

Thermal Expansion and Contraction

Apply Worksheet

Name
Date
Class

Learning Goals

1. For the same temperature rise, gases expand the most and solids the least. Use particle theory to explain why.

Recall 2 marks

Order the steps

A heater is controlled by a bimetallic strip made of brass and steel. Brass expands more than steel. Number the steps from 1 to 6. Step 1 comes first.

OrderStep
The brass expands more than the steel, so the strip bends away from the contact.
The room loses heat through the walls and windows, and the strip cools.
The room is cold. The strip is straight and touches the contact, so the heater is on.
The strip straightens, touches the contact again, and the heater turns back on.
The heater warms the room, and the strip warms with it.
The circuit is broken and the heater turns off.

2. When the strip bends, which metal is on the outside of the curve? Explain why.

Apply 2 marks

Real-world context: the Sydney Harbour Bridge

Including its approach spans, the Sydney Harbour Bridge is 1,149 m long. It is made mostly of steel, and it has expansion joints along its length. Use the steel expansion value of 0.012 mm per metre per °C.

Source for the length: “Sydney Harbour Bridge”, Wikipedia.

3. Why are expansion joints essential in the bridge? What would happen if it were one continuous, rigid structure?

Apply 2 marks

4. (a) Calculate how much longer a 1,149 m steel structure becomes when it warms from 10 °C to 45 °C. Give your answer in mm and in cm. (b) Predict the expansion of a steel bridge twice as long over the same temperature change, and explain.

Apply 4 marks

(a) Expansion mm

(a) Expansion cm

(b) Expansion cm

5. Express your answer to 4(a) as a percentage of the bridge’s length. Use it to explain why people walking across the bridge never notice it grow.

Analyse 2 marks

Percentage %

Table 1. How much five materials expand
MaterialGrowth per metre for each 1 °C (mm)Growth of a 2 m rod heated by 50 °C (mm)
Aluminium0.024
Copper0.017
Steel0.0121.2
Glass0.009
Pyrex glass0.0033

Source: values from Lesson 10.

6. Complete Table 1. Steel is done for you: 2 × 0.012 × 50 = 1.2 mm.

Apply 2 marks

7. (a) Which TWO metals in Table 1 would make the bimetallic strip that bends the most? Explain. (b) Use Table 1 to explain why a Pyrex dish is less likely to crack than an ordinary glass dish when hot water is poured into it.

Analyse 3 marks

8. Power lines are made of aluminium. A line crew hangs a 300 m length of line between two towers on a 5 °C winter morning. On a 45 °C summer afternoon the line is much hotter. Using a calculation, explain why the crew must leave slack in the line, and what would happen if they pulled it tight in summer instead.

Analyse 5 marks

Extra length of line mm