Question:

The molarity of $NO_3^-$ in the solution after $2L$ of $3M \, AgNO_3$ is mixed with $3L$ of $1M \, BaCl_2$ is

Updated On: Apr 15, 2024
  • 1.2 M
  • 1.8 M
  • 0.5 M
  • 0.4 M
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The Correct Option is A

Solution and Explanation

\(2\,L\) of \(3M \, AgNO_3\) will contains \(6\) moles of \(AgNO_3\)
\(3\,L\) of \(1 \, M \, BaCl_2\) will contain \(3\) moles of \(BaCl_2\)
\({2AgNO_3 + BaCl_2 \to2AgCl + Ba(NO_3)_2. }\) 
So, 6 moles of \(AgNO_3\) will react with 3 moles on \(BaCl_2\) it means, two solution will react completely to form 3 moles of \(Ba(NO_3)_2 \equiv\) 6 moles of \(NO_3^-\) ions in \(2+35L\) solution 
Hence, molarity of \(NO_3^- = \frac{6}{5} = 1.2 \, M\)

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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.