The $25 \,mL$ of a $0.15 \, M$ solution of lead nitrate, $Pb \left( NO _{3}\right)_{2}$ reacts with all of the aluminium sulphate, $Al _{2}\left( SO _{4}\right)_{3}$, present in $20 \,mL$ of a solution. What is the molar concentration of the $Al _{2}\left( SO _{4}\right)_{3}$ ? $3 Pb \left( NO _{3}\right)_{2}( aq )+ Al _{2}\left( SO _{4}\right)_{3}( aq ) \longrightarrow 3 PbSO _{4}( s )+2 Al \left( NO _{3}\right)_{3}( aq )$
- $6.25 \times 10^{-2} \, M $
- $2.421 \times 10^{-2} \,M $
- 0.1875 M
- None of these
The Correct Option is A
Solution and Explanation
Molar mass of \(Pb \left( NO _{3}\right)_{2}=25 \times 0 \cdot 15\)
\(=3.75\, m\). moles
Molar mass of \(Al _{2}\left( SO _{4}\right)_{3}\)
\(=\frac{1}{3} \times 3 \cdot 75= M \times 20\)
\(M=0.0625=6.25 \times 10^{-2} M\)
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Concepts Used:
Concentration of Solutions
It is the amount of solute present in one liter of solution.
Concentration in Parts Per Million - The parts of a component per million parts (106) of the solution.
Mass Percentage - When the concentration is expressed as the percent of one component in the solution by mass it is called mass percentage (w/w).
Volume Percentage - Sometimes we express the concentration as a percent of one component in the solution by volume, it is then called as volume percentage
Mass by Volume Percentage - It is defined as the mass of a solute dissolved per 100mL of the solution.
Molarity - One of the most commonly used methods for expressing the concentrations is molarity. It is the number of moles of solute dissolved in one litre of a solution.
Molality - Molality represents the concentration regarding moles of solute and the mass of solvent.
Normality - It is the number of gram equivalents of solute present in one liter of the solution and it is denoted by N.
Formality - It is the number of gram formula present in one litre of solution.