Question

A glass flask contains some mercury at room temperature. It is found that at different temperature the volume of air inside the flask remains the same. If the volume of mercury in the flask is $300c{m}^3$, then find volume of the flask in $c{m}^3$ (given that coefficient of volume expansion of mercury and coefficient of linear expansion of glass are $1.8\times {10}^{-4}{(}^{\circ }C{)}^{-1}$ and $9\times {10}^{-6}{(}^{\circ }C{)}^{-1}$ respectively)

Answer 1

${\gamma }_{mercury}\times v_{mercury}={\gamma }_{flask}\times V_{flask}$
$1.8\times {10}^{-4}\times 300=3\times (9\times {10}^{-6})\times V_{flask}$
$\Rightarrow V_{flask}=2000c{m}^3$