The density of water at $20^oC$ is $0.998 \, g/cm^3$ and at $40^oC$ is $0.992 \, g/cm^3$. The mean coefficient of cubical expansion (in per $^oC$) is:

$A$ glass flask of volume $1 \, L$ at $0 \, ^oC$ is filled level full with mercury at this temperature. The flask and mercury are now heated to $100 \, ^oC$. How much mercury will spill out,if the coefficient of volume expansion of mercury is $1.82 \times 10^{-4} / ^oC$ and the coefficient of linear expansion of glass is $0.1 \times 10^{-4} / ^oC$? ............ $cc$

$A$ liquid with a coefficient of volume expansion $\gamma$ is filled in a container of a material having a coefficient of linear expansion $\alpha$. If the liquid overflows on heating,then

The densities of a liquid at $0^{\circ} C$ and $100^{\circ} C$ are respectively $1.0127 \ g/cm^3$ and $1 \ g/cm^3$. $A$ specific gravity bottle is filled with $300 \ g$ of the liquid at $0^{\circ} C$ up to the brim and it is heated to $100^{\circ} C$. Then,the mass of the liquid expelled in grams is: (Coefficient of linear expansion of glass $= 9 \times 10^{-6} /^{\circ} C$)

The value of the coefficient of volume expansion of glycerin is $5 \times 10^{-4} \ K^{-1}$. The fractional change in the density of glycerin for a rise of $40^{\circ}C$ in its temperature is:

$A$ gas at $20 \, ^\circ C$ and normal pressure has a volume of $100 \, cm^3$. If its temperature is increased to $100 \, ^\circ C$ at the same pressure,its volume becomes $125 \, cm^3$. Calculate the coefficient of volume expansion of the gas at normal pressure in $^\circ C^{-1}$.