The height at which the span will rise.

Question

A liquid with a coefficient of volume expansion of β just fills a spherical flask of volume V 0 at temperature Ti (Fig. P10.57). The flask is made of a material that has a coefficient of linear expansion of a. The liquid is free to expand into a capillary of cross- sectional area A at the top. (a) Show that if the temperature increases by ΔT, the liquid rises in the capillary by the amount Δh = (V0 /A)(β − 3α)ΔT. (b) For a typical system, such as a mercury thermometer, why is it a good approximation to neglect the expansion of the flask?

Answer 1

Question

Chapter 18, Problem 12P

To determine

The height at which the span will rise.

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