The coefficient 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 vessel $A$ is $\alpha$,then the coefficient of linear expansion of vessel $B$ is:

$A$ glass flask of volume $1 \, L$ at $0^{\circ}C$ is filled level full of mercury at this temperature. The flask and mercury are now heated to $100^{\circ}C$. How much mercury (in $cc$) will spill out,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 $0.1 \times 10^{-4} \, ^{\circ}C^{-1}$?

$A$ glass flask of volume $1 \text{ litre}$ is filled completely with mercury at $0^{\circ} C$. The flask is now heated to $100^{\circ} C$. The coefficient of volume expansion of mercury is $1.82 \times 10^{-4} /{ }^{\circ} C$ and the coefficient of linear expansion of glass is $0.1 \times 10^{-4} /{ }^{\circ} C$. During this process, the amount of mercury which overflows is (in $\text{ cc}$)

$A$ 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

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 $473 \, K$?

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 $= 9 \times 10^{-6} /^{\circ} C$)