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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Chapter1: Units, Trigonometry. And Vectors
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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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