Academic Experts Solutions for Chapter: Solution & Colligative Properties, Exercise 2: KVPY PROBLEMS (PREVIOUS YEARS)

A solution containing $8.0 \mathrm{g}$ of nicotine in $92 \mathrm{g}$ of water freezes $0.925$ degrees below the normal freezing point of water. If the molal freezing point depression constant, ${\mathrm{K}}_{\mathrm{f}}=1.85°\mathrm{C} {\mathrm{mol}}^{-1}$, then the molar mass of nicotine is:

At $298 \mathrm{K}$, the ratio of osmotic pressures of two solutions of a substance with concentrations of $0.01 \mathrm{M}$ and $0.001 \mathrm{M}$, respectively, is: 

At $300 \mathrm{K}$ the vapour pressure of two pure liquids, $\mathrm{A}$ and $\mathrm{B}$ are $100$ and $500 \mathrm{mmHg}$, respectively. If in a mixture of $\mathrm{A}$ and $\mathrm{B}$, the vapour pressure is $300 \mathrm{mmHg}$, the mole fractions of $\mathrm{A}$ in the liquid and in the vapour phase, respectively, are

The variation of solubility of four different gases ($\mathrm{G}1,\mathrm{G}2$ etc.,) in a given solvent with pressure at a constant temperature is shown in the plot.

The gas with the highest value of Henry's law constant is

In $108 \mathrm{g}$ of water, $18 \mathrm{g}$ of a non-volatile compound is dissolved. At $100°\mathrm{C}$ the vapour pressure of the solution is $750 \mathrm{mmHg}$. Assuming that the compound does not undergo association or dissociation, the molar mass of the compound in $\mathrm{g} {\mathrm{mol}}^{-1}$ is

$\mathrm{Mg}{\left(\mathrm{OH}\right)}_2$ is precipitated when $\mathrm{NaOH}$ is added to a solution of ${\mathrm{Mg}}^{2+}$. If the final concentration of ${\mathrm{Mg}}^{2+}$ is ${10}^{-10} \mathrm{M}$, the concentration of ${\mathrm{OH}}^{-}\left(\mathrm{M}\right)$ in the solution is

[Solubility product for $\mathrm{Mg}{\left(\mathrm{OH}\right)}_2=5.6\times {10}^{-12}$]

A piece of metal weighing $100 \mathrm{g}$ is heated to $80°\mathrm{C}$ and dropped into $1 \mathrm{kg}$ of cold water in an insulated container at $15°\mathrm{C}$. If the final temperature of the water in the container is $15.69°\mathrm{C}$, the specific heat of the metal in $\mathrm{J}/\mathrm{g}°\mathrm{C}$. is

The plot of total vapour pressure as a function of mole fraction of the components of an ideal solution formed by mixing liquids $\mathrm{X}$ and $\mathrm{Y}$ is: