Global warming will produce rising sea levels partly due to melting ice caps and partly due to the expansion of water as average ocean temperatures rise. To get some idea of the size of this effect, calculate the change in length of a column of water 1.00 km high for a temperature increase of 1.00oC. Assume the column is not free to expand sideways. As a model of the ocean, that is a reasonable approximation, as only parts of the ocean very close to the surface can expand sideways onto land, and only to a limited degree. As another approximation, neglect the fact that ocean warming is not uniform with depth. Express your answer in units of kilometers.

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Global warming will produce rising sea levels partly due to melting ice caps and partly due to the expansion of water as average ocean temperatures rise. To get some idea of the size of this effect, calculate the change in length of a column of water 1.00 km high for a temperature increase of 1.00oC. Assume the column is not free to expand sideways. As a model of the ocean, that is a reasonable approximation, as only parts of the ocean very close to the surface can expand sideways onto land, and only to a limited degree. As another approximation, neglect the fact that ocean warming is not uniform with depth. Express your answer in units of kilometers.

Material
Solids
Aluminum
Brass
Copper
Gold
Iron or steel
Invar (nickel-iron alloy)
Lead
Silver
Glass (ordinary)
Glass (Pyrex®)
Quartz
Concrete, brick
Marble (average)
Liquids
Ether
Ethyl alcohol
Gasoline
Glycerin
Mercury
Water
Gases
Air and most other gases at
atmospheric pressure
Coefficient of Linear
Expansion a(1/°C)
25 x 10-6
19x 10-6
17 x 10-6
14 x 10-6
12x 10-6
0.9 x 10-6
29 x 10-6
18 x 10-6
9x 10-6
3x 10-6
0.4 x 10-6
-12 x 10-6
2.5 x 10-6
Coefficient of Volume
Expansion (1/°C)
75 x 10-6
56 x 10-6
51 x 10-6
42 x 10-6
35 x 10-6
2.7 x 10-6
87 x 10-6
54 x 10-6
27 x 10-6
9x 10-6
1x 10-6
-36 x 10-6
7.5 x 10-6
1650 x 10-6
1100 x 10-6
950 x 10-6
500 x 10-6
180 x 10-6
210 x 10-6
3400 x 10-6
Transcribed Image Text:Material Solids Aluminum Brass Copper Gold Iron or steel Invar (nickel-iron alloy) Lead Silver Glass (ordinary) Glass (Pyrex®) Quartz Concrete, brick Marble (average) Liquids Ether Ethyl alcohol Gasoline Glycerin Mercury Water Gases Air and most other gases at atmospheric pressure Coefficient of Linear Expansion a(1/°C) 25 x 10-6 19x 10-6 17 x 10-6 14 x 10-6 12x 10-6 0.9 x 10-6 29 x 10-6 18 x 10-6 9x 10-6 3x 10-6 0.4 x 10-6 -12 x 10-6 2.5 x 10-6 Coefficient of Volume Expansion (1/°C) 75 x 10-6 56 x 10-6 51 x 10-6 42 x 10-6 35 x 10-6 2.7 x 10-6 87 x 10-6 54 x 10-6 27 x 10-6 9x 10-6 1x 10-6 -36 x 10-6 7.5 x 10-6 1650 x 10-6 1100 x 10-6 950 x 10-6 500 x 10-6 180 x 10-6 210 x 10-6 3400 x 10-6
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