Global warming will produce rising sea levels partly due to...

Name: Problem 14, Chapter 13: College Physics for AP® Courses
Uploaded: 2019-08-18T18:37:46-08:00
Duration: 1 min 39 s
Channel: Averell Hause
Description: Global warming will produce rising sea levels partly due to melting ice caps but also 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. Note that this calculation is only approximate because ocean warming is not uniform with depth.

Global warming will produce rising sea levels partly due to melting ice caps but also 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. Note that this calculation is only approximate because ocean warming is not uniform with depth.

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Key Concepts

Thermal Expansion

Thermal expansion is the process by which a material increases in volume when its temperature rises. This concept is critical in understanding how warming can cause materials, such as water, to occupy more space, leading to observable changes like rising sea levels.

Coefficient of Volumetric Expansion

The coefficient of volumetric expansion quantifies how much a material's volume changes per unit increase in temperature. It is defined as the fractional change in volume per degree of temperature change and helps in estimating the extent of expansion, such as the length change in a water column when heated.

Relationship Between Volume Change and Linear Expansion

For isotropic materials where expansion occurs equally in all directions, the fractional change in linear dimensions (such as the height of a column) is equivalent to the fractional change in volume. In contexts like ocean water warming, this relationship allows one to convert volumetric expansion into an increase in sea level.

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