What will be the difference in volume of water when it is heated from $0\,^{\circ}C$ to $10\,^{\circ}C$?

The coefficient of volume expansion of glycerin is $49 \times 10^{-5} \, K^{-1}$. The fractional change in the density on a $30^{\circ} C$ rise in temperature is ..........

$A$ glass flask is filled up to a mark with $50\, cc$ of mercury at $18^{\circ}C.$ If the flask and contents are heated to $38^{\circ}C,$ how much mercury will be above the mark? (Given: $\alpha$ for glass is $9 \times 10^{-6} {^{\circ}C}^{-1}$ and the coefficient of real expansion of mercury is $180 \times 10^{-6} {^{\circ}C}^{-1}$)

What is $\alpha_V$? On what value of $\alpha_V$ depends? Write its unit.

An open vessel is filled completely with oil which has the same coefficient of volume expansion as that of the vessel. On heating both the oil and the vessel,

The relation between the coefficient of real expansion $(\gamma_r)$ and coefficient of apparent expansion $(\gamma_a)$ of a liquid and the coefficient of linear expansion $(\alpha_g)$ of the material of the container is: