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Question

A glass vessel of volume v0 is completely filled with a liquid and its temperature is raised by T. What volume of the liquid will overflow? Coefficient of linear expansion of glass =αg and coefficient of volume expansion of the liquid =γ.

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Solution

Volume of the liquid overflow
= Increase in the volume of the liquid increase in the volume of the container
=[V0(1+γlT)V0][V0(1+γgT)V0]=V0T(γlγg)
=V0T(γl3αg)(γ3α).

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