Question

A glass flask of volume 1 litre is fully filled with mercury at $0^{\circ }C$. Both the flask and mercury are now heated to ${100}^{\circ }C$. If the coefficient of volume expansion of mercury is $1.82\times {10}^{-4}{/}^{\circ }C$, coefficient of linear expansion of glass is $1.0\times {10}^{-5}{/}^{\circ }C$, the amount of mercury which is expelled is

• A. 15.2 ml
• B. 17.2 ml
• C. 19.2 ml
• D. 21.2 ml

Answer 1

The correct option is A 15.2 ml

Amount spilled out $=$ Difference in volumes increased

Volume of mercury increased $=V\gamma \Delta T$

$\Rightarrow 1000\times 1.82\times {10}^{-4}\times 100$

Increase in volume $=18.2ml$

Cubical Expansion coefficient $=3\times$ linear coefficient

Increase in capacity of glass $=1000\times 3\times 10\times {10}^{-6}\times 100$

Increase $=3ml$

Mercury spilled out $=18.2-3=15.2ml$