S C Kheterpal, S N Dhawan and, P N Kapil Solutions for Chapter: Some Basic Concepts of Chemistry, Exercise 11: PROBLEMS FOR PRACTICE

The concentration of ${\mathrm{H}}_2{\mathrm{SO}}_4$ in a bottle labelled “conc. Sulphuric acid” is $18 \mathrm{M}$. The solution has a density of $1.84 \mathrm{g} {\mathrm{cm}}^{-3}$. What is the mole fraction and weight percentage of sulphuric acid in this solution?

Calculate the molality of $1$ litre solution of $93 \%$ ${\mathrm{H}}_2{\mathrm{SO}}_4$(weight/volume). The density of the solution is $1.84 \mathrm{g} {\mathrm{mL}}^{-1}$.

Calculate the mole fraction of ethanol and water in a sample of rectified spirit which contains $95$ per cent of ethanol by weight.

The density of a $3 \mathrm{M} {\mathrm{Na}}_2{\mathrm{S}}_2{\mathrm{O}}_3$ (sodium thiosulphate) solution is $1.25 \mathrm{g} {\mathrm{cm}}^{-3}$. Calculate the percentage by weight of sodium thiosulphate.

The density of a $3 \mathrm{M} {\mathrm{Na}}_2{\mathrm{S}}_2{\mathrm{O}}_3$ (sodium thiosulphate) solution is $1.25 \mathrm{g} {\mathrm{cm}}^{-3}$. Calculate the mole fraction of sodium thiosulphate.

The density of a  $3 \mathrm{M} {\mathrm{Na}}_2{\mathrm{S}}_2{\mathrm{O}}_3$ (sodium thiosulphate) solution is $1.25 \mathrm{g} {\mathrm{cm}}^{-3}$. Calculate the molality of ${\mathrm{Na}}^{+}$and ${\mathrm{S}}_2{{\mathrm{O}}_3}^{2-}$ ions.

An aqueous solution of sodium chloride is marked $10 \%$ ($\raisebox{1ex}{$\mathrm{w}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{w}$}\right.$) on the bottle. The density of the solution is $1.071 \mathrm{g} {\mathrm{mL}}^{-1}$. What is the molality and molarity? Also, what is the mole fraction of each component in the solution?

${\mathrm{H}}_2{\mathrm{SO}}_4$used in lead storage cell is $38 \%$ by mass and has a density of $1.30 \mathrm{g} {\mathrm{cm}}^{-3}$. Calculate its molarity.