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Determining the Diameter of a Bore in a Thermometer

How would I find the diameter of a bore (tube) in a thermometer if I have the mercury expanding about 2 cm in length for 10 degrees C. rise in temperature and that the volume of mercury in the bulb is 0.1 cubic meter?

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The volumetric coefficient of expansion of Mercury is b = 0.000181/C
(e.g. web page
http://www.du.edu/~jcalvert/phys/mercury.htm#Ther
or
http://physics.tamuk.edu/~suson/html/1401/thermal.html)

Starting from volume V0 = 0.1 cubic meter, the temperature rise of dt=10 C would cause the ...

Solution Summary

Almost 200 words of explained calculations for how to find the diameter of a bore in a thermometer when given the expansion of mercury around it.

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