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A liquid with a coefficient of volume expansion β just fills a spherical flask of volume...

A liquid with a coefficient of volume expansion β just fills a spherical flask of volume Vo at a temperature of Ti. The flask is made of a material that has a coefficient oflinear expansion α. The liquid is free to expand into a capillary if cross-sectional area A at the top.

A) Show that if the temperature increases by deltaT, the liquid rises into the capillary by the amount
deltaH= (Vo/A) * (β-3α) * deltaT.

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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