If on heating a liquid through $80^{\circ}C$,the mass expelled is $(1/100)^{th}$ of the mass remaining,the coefficient of apparent expansion of the liquid is:

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

An open vessel is filled completely with oil which has the same coefficient of volume expansion as that of the vessel. On heating both the oil and the vessel,

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 $100 \, ^\circ C$.

The coefficient of volume expansion of glycerin is $5 \times 10^{-4} \ K^{-1}$. If the temperature of glycerin is raised by $40^{\circ} C$,the fractional change in its density will be . . . . . . .

$A$ 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