Posted by **Anon14** on Saturday, November 26, 2011 at 10:39pm.

Your swimming pool is square and 5.7 m on a side. It is 1.5 m deep in the morning. If the temperature changes by 14°C during the afternoon, how much does the depth of the water increase?

- Physics -- Temp and heat -
**drwls**, Sunday, November 27, 2011 at 12:05am
5.7^2 * 1.5 m^3 is the volume in the morning, Vo.

In the afternoon, the volume increases by a factor V/Vo = K*delta T

where K is the bulk thermal expansion coefficient of water. You will need to look that up. DeltaT = 14 C

You will find that K depends upon temperature. To treat is as a constant, you need some idea of the average termperature. At about 20 C average temperature, K = 2*10^-4

The pool depth will increase by the same ratio V/Vo, since the horizontal area will not change. Use that fact to deduce the depth change.

I get about 4 millimeters depth increase. Evaporation has been neglected.

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