Embibe Experts Solutions for Chapter: Solutions, Exercise 5: Exercise-5

Dry air was passed through bulbs containing a solution of $40$ grams of non-volatile electrolytic solute in $360$ grams of water, then through bulbs containing pure water at the same temperature and finally through a tube in which pumice moistened with strong ${\mathrm{H}}_2{\mathrm{SO}}_4$ was kept. The water bulbs lost $0.0870$ grams and the sulphuric acid tube gained $2.175$ grams. Calculate the molecular weight of solute.

Calculate the freezing point of a solution of a non-volatile solute in an unknown solvent of molar mass $30$ $\mathrm{g}/\mathrm{mole}$ having mole fraction of solvent equal to $0.8$. Given that latent heat of fusion of solid solvent $=2.7$ $\mathrm{kcal} {\mathrm{mol}}^{-1},$ freezing point of solvent $=27°\mathrm{C}$ and $\mathrm{R}=2 {\mathrm{calmol}}^{-1}{\mathrm{k}}^{-1}.$

At a constant temperature, $\mathrm{\Delta S}$ will be the maximum for which of the following processes:

The freezing point of aqueous solution that contains $3\%$ urea, $7.45\% \mathrm{KCl}$ and $9\%$ of glucose is (given ${\mathrm{K}}_{\mathrm{f}}$ of water $=1.86$ and asume molarity = molality).

Osmotic pressure of solution of glucose is $1.20 \mathrm{atm}$ and that of solution of cane sugar is $2.5 \mathrm{atm}$. The osmotic pressure of the mixture containing equal volumes of the two solutions will be:

Consider two liquids $\mathrm{A} \& \mathrm{B}$ having pure vapour pressures ${\mathrm{P}}_{\mathrm{A}}°\&{\mathrm{P}}_{\mathrm{B}}°$ forming an ideal solution. The plot of $\frac{1}{{\mathrm{X}}_{\mathrm{A}}}\mathrm{v}/\mathrm{s}\frac{1}{{\mathrm{Y}}_{\mathrm{A}}}$ (where ${\mathrm{X}}_{\mathrm{A}}$ and ${\mathrm{Y}}_{\mathrm{A}}$ are the mole fraction of liquid $\mathrm{A}$ in liquid and vapour phase respectively) is linear with slope and $\mathrm{Y}$ intercepts respectively:

Assuming the formation of an ideal solution, determine the boiling point of a mixture containing $1560 \mathrm{g}$ benzene (molar mass $=78$ ) and chlorobenzene (molar mass $=112.5$ ) using the following against an external pressure of $1000$ Torr.

Dry air is slowly passed through three solutions of different concentrations, ${\mathrm{C}}_1, {\mathrm{C}}_2$ and ${\mathrm{C}}_3$; each containing (non volatile) $\mathrm{NaCl}$ as solute and water as solvent, as shown in the Fig. If the vessel $2$ gains weight and the vessel $3$ loses weight, then