First slide
Thermal expansion
Question

A vessel of linear coefficient of expansion ‘a’ is half filled with a liquid. On increasing the temperature, the volume of empty space remains the same at all temperature, then coefficient of real expansion of liquid is           

Easy
Solution

If volume of empty space remain constant expansion of container = expansion of liquid.

cΔT=V2γlΔT

=3αC=γl2

3a=γl2

γl=6a

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