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?
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?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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?
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