$A$ liquid having a coefficient of cubical expansion $\gamma$ is filled in a container having a coefficient of linear expansion $\alpha$. If the liquid overflows upon heating,which of the following relations is correct?

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

$A$ 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.

Give the value of the coefficient of volume expansion at room temperature for an ideal gas.

$A$ bakelite beaker has a volume capacity of $500\, cc$ at $30^{\circ} C$. When it is partially filled with $V_{m}$ volume (at $30^{\circ} C$) of mercury,it is found that the unfilled volume of the beaker remains constant as the temperature is varied. If $\gamma_{\text{beaker}} = 6 \times 10^{-6}{ }^{\circ} C^{-1}$ and $\gamma_{\text{mercury}} = 1.5 \times 10^{-4}{ }^{\circ} C^{-1}$,where $\gamma$ is the coefficient of volume expansion,then $V_{m}$ (in $cc$) is close to