The coefficient of volume expansion of glycerin is $49 \times 10^{-5} \; K^{-1}$. What is the fractional change in its density for a $30 \; ^{\circ}C$ rise in temperature?

The coefficients 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 the vessel $A$ is $\alpha$, the coefficient of linear expansion of the vessel $B$ 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 $0.1 \times 10^{-4} / ^oC$? ............ $cc$

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 $,the coefficient of linear expansion of vessel $B$ is

The relation between the coefficient of real expansion $(\gamma_r)$ and coefficient of apparent expansion $(\gamma_a)$ of a liquid and the coefficient of linear expansion $(\alpha_g)$ of the material of the container is:

What will be the difference in volume of water when it is heated from $0\,^{\circ}C$ to $10\,^{\circ}C$?