The coefficient of real expansion of mercury is $0.18 \times 10^{-3} \, ^{\circ}C^{-1}$. If the density of mercury at $0^{\circ}C$ is $13.6 \, g/cm^3$,what is its density at $473 \, K$?

$A$ vertical column $50 \ cm$ long at $50^{\circ}C$ balances another column of the same liquid $60 \ cm$ long at $100^{\circ}C$. The coefficient of absolute expansion of the liquid is:

Why is the coefficient of volume expansion zero for water at $4\,^{\circ}C$?

The coefficient of volumetric expansion of mercury is $18 \times 10^{-5} \, ^\circ C^{-1}$. $A$ thermometer bulb has a volume $10^{-6} \, m^3$ and the cross-section of the stem is $0.004 \, cm^2$. Assuming that the bulb is filled with mercury at $0 \, ^\circ C$,find the length of the mercury column at $100 \, ^\circ C$.

$A$ 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 $\gamma_L$?

$A$ liquid having a coefficient of cubical expansion $\gamma$ is kept in a copper vessel having a coefficient of linear expansion $\alpha = \frac{\gamma}{3}$. If heat is supplied to the vessel,the original level of the liquid in the vessel will