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

A

3a
B

2a
C

6a
D

4a

Solution

If volume of empty space remain constant expansion of container = expansion of liquid.
${Vγ}_{c} ΔT = \frac{V}{2} γ_{l} ΔT$
$= 3 α_{C} = \frac{γ_{l}}{2}$
$3 a = \frac{γ_{l}}{2}$
$γ_{l} = 6 a$

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