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:

$A$ glass vessel of volume $V_0$ is completely filled with a liquid and its temperature is raised by $\Delta T$. What volume of the liquid will flow over,if the coefficient of linear expansion of glass is $\alpha_g$ and the coefficient of volume expansion of the liquid is $\gamma_L$?

$A$ glass flask of volume $1 \, L$ is completely filled with mercury at $0 \, ^\circ C$. The temperature of the glass flask and mercury is raised to $100 \, ^\circ C$. If the coefficient of volume expansion of mercury is $1.82 \times 10^{-4} \, ^\circ C^{-1}$ and the coefficient of linear expansion of glass is $0.1 \times 10^{-4} \, ^\circ C^{-1}$,how much mercury will overflow from the flask? (in $cm^3$)

Obtain the coefficient of volume expansion for an ideal gas.

In an experiment to find the liquid expansion coefficient $(\gamma)$,a column of experimental liquid at $T\,^oC$ is balanced against another column of experimental liquid at $0\,^oC$ by taking them in a $U$-tube. The expansion coefficient $(\gamma)$ is?

The coefficients of apparent expansion of a liquid when determined using two different vessels $A$ and $B$ are $\gamma_1$ and $\gamma_2$, respectively. If the coefficient of linear expansion of the vessel $A$ is $\alpha$, the coefficient of linear expansion of the vessel $B$ is