(a)Use the ideal gas law to show that, for an ideal gas at constant pressure, the

Material

Coefficient of Linear Expansion, α (C°)-1

Coefficient of Volume Expansion, β (C°)-1

Solids

Aluminum

25 × 10–6

75 × 10–6

Brass

19 × 10–6

56 × 10–6

Copper

17 × 10–6

50 × 10–6

Gold

14 × 10–6

42 × 10–6

Iron or steel

12 × 10–6

35 × 10–6

Lead

29 × 10–6

87 × 10–6

Glass (Pyrex®)

3 × 10–6

9 × 10–6

Glass (ordinary)

25 × 10–6

27 × 10–6

Quartz

0.4 × 10–6

1 × 10–6

Concrete and brick

≈12 × 10–6

≈36 × 10–6

Marble

1.4 – 3.5 × 10–6

4–10 × 10–6

Liquids

Gasoline

950 × 10–6

Mercury

180 × 10–6

Ethyl alcohol

1100 × 10–6

Glycerin

500 × 10–6

Water

210 × 10–6

Gases

Air (and most other gases at atmospheric pressure)

3400 × 10–6