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Question

To keep the volume of empty space in a vessel containing a liquid constant at all temperatures, the expansions of vessel and liquid should be the same.

A
True
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B
False
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Solution

The correct option is A True
True.
In order to have same empty space the expansion, the total expansion of liquid must be equal to the the total expansion of vessel. So that the difference will remain the same.
Let the volume of vessel be V and liquid be v.
Empty space e=Vv
Now their volume is increases by x, so volume of container is V+x and liquid is v+x.
Empty space f=V+x(v+x)=Vv=e

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