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A 1.00-gal glass bottle (alpha= 1.0x10^-5 1/degree Celsius) holds 0.98 gal of a liquid (Beta= 2.0x10^-4...

A 1.00-gal glass bottle (alpha= 1.0x10^-5 1/degree Celsius) holds 0.98 gal of a liquid (Beta= 2.0x10^-4 1/deg C) at 10 deg C. At what temperature will the liquid begin to overflow the bottle?

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Answer #1

Converting all units to SI, we get, 1 gal = 0.00378 m^3 and 0.98 gal = 0.0037

The change in volume of bottle can be written as,

The change in volume for liquid is,

The liquid will begin to overflow when,

Substituting values we get,

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