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Thermal expansion and fluid statics

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An aluminum cube floats in a bowl of liquid mercury at 0oC. If the temperature is raised to 27.5oC, by what percent will the fraction of volume submerged change?

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A problem related to thermal expansion and fluid statics is solved.

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An aluminum cube floats in a bowl of liquid mercury at 0oC. If the temperature is raised to 27.5oC, by what percent will the fraction of volume submerged change?

Answer:

With increase in temperature the density of both aluminum and mercury changes.
The density of a substance at t0C is given by the formula
...

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