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199.


Problem 22.43 (RHK)


A 1.28-m-long vertical glass tube is half-filled with a liquid at . We have to find the change in height of the liquid column when the tube is heated to . We may assume that and .


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Let A be the cross-sectional area of the tube. The volume of the liquid, , at will be

The change in the volume of the liquid when it is heated to will be

Therefore, the volume of the liquid at will be

The cross-sectional area of the glass tube would also increase due to thermal expansion when the tube is heated to from . The change in the coss-sectional area will be

And

Let the height of the liquid column in the glass tube at be h m.

Then

Therefore, the change in height of the liquid in the glass tube will be