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QIC S A liquid with a coef- ficient of volume expansion of B just fills a spherical flask of volume V, at temperature T; (Fig. P10.61). The flask is made Ah of a material that has a coef- ficient 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 AT, the liquid rises in the capil- lary by the amount Ah = (Vo/A) (B - 3a)AT. (b) For a typi- cal system, such as a mercury thermometer, why is it a good approximation to neglect the expansion of the flask? T; + AT T; Figure P10.61

QIC S A liquid with a coef- ficient of volume expansion of B just fills a spherical flask of volume V, at temperature T; (Fig. P10.61). The flask is made Ah of a material that has a coef- ficient 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 AT, the liquid rises in the capil- lary by the amount Ah = (Vo/A) (B - 3a)AT. (b) For a typi- cal system, such as a mercury thermometer, why is it a good approximation to neglect the expansion of the flask? T; + AT T; Figure P10.61

University Physics Volume 2
University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter1: Temperature And Heat
Section: Chapter Questions
Problem 59P: The density of water at 0 C is very nearly 1000 kg/m3 (it is actually 999.84 kg/m3), whereas the...
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QIC S A liquid with a coef- ficient of volume expansion of B just fills a spherical flask of volume V, at temperature T; (Fig. P10.61). The flask is made Ah of a material that has a coef- ficient 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 AT, the liquid rises in the capil- lary by the amount Ah = (Vo/A) (B - 3a)AT. (b) For a typi- cal system, such as a mercury thermometer, why is it a good approximation to neglect the expansion of the flask? T; + AT T; Figure P10.61
Transcribed Image Text:QIC S A liquid with a coef- ficient of volume expansion of B just fills a spherical flask of volume V, at temperature T; (Fig. P10.61). The flask is made Ah of a material that has a coef- ficient 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 AT, the liquid rises in the capil- lary by the amount Ah = (Vo/A) (B - 3a)AT. (b) For a typi- cal system, such as a mercury thermometer, why is it a good approximation to neglect the expansion of the flask? T; + AT T; Figure P10.61
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