First slide

Thermal expansion

Question

A vessel of volume ‘V’ is half filled with a liquid of density ‘2d’ and coefficient of apparent expansion ‘x’ and the other half is filled with another liquid of density ‘d’ but coefficient of apparent expansion ‘2x’. The temperature is risen through 2^o C , the mass of the liquid expelled out

Moderate

A

9Vxd
B

6Vxd
C

3Vxd
D

1.5Vxd

Solution

Lighter liquid will over flow, mass over flow.
$\begin{array}{l} Δm = [\frac{V}{2} xΔt + \frac{V}{2} 2 xΔt] d \\ = (Vx + 2 Vx) d = 3 Vxd \end{array}$

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