JEE Main · 2025 · Shift-IIhardIEQ-087

10 mL of 2 M NaOH solution is added to 20 mL of 1 M HCl solution kept in a beaker. Now, 10 mL of this mixture is poured…

Ionic Equilibrium · Class 11 · JEE Main Previous Year Question

Question

10 mL of 2 M \ceNaOH\ce{NaOH} solution is added to 20 mL of 1 M \ceHCl\ce{HCl} solution kept in a beaker. Now, 10 mL of this mixture is poured into a volumetric flask of 100 mL containing 2 moles of \ceHCl\ce{HCl} and made the volume upto the mark with distilled water. The solution in this flask is:

Options
  1. a

    0.2 M \ceNaCl\ce{NaCl} solution

  2. b

    20 M \ceHCl\ce{HCl} solution

  3. c

    10 M \ceHCl\ce{HCl} solution

  4. d

    Neutral solution

Correct Answerb

20 M \ceHCl\ce{HCl} solution

Detailed Solution

Step 1 — Neutralisation in the beaker

Moles of \ceNaOH=2×0.010=0.02\ce{NaOH} = 2 \times 0.010 = 0.02 mol; Moles of \ceHCl=1×0.020=0.02\ce{HCl} = 1 \times 0.020 = 0.02 mol

Both completely neutralise: \ceNaOH+HCl>NaCl+H2O\ce{NaOH + HCl -> NaCl + H2O}

Result: 0.02 mol \ceNaCl\ce{NaCl} in 30 mL — neutral solution.

Step 2 — Transfer to flask

10 mL of the neutral \ceNaCl\ce{NaCl} solution is poured into the flask. This contains no excess acid or base.

Step 3 — Contents of 100 mL flask

The flask already contains 2 mol \ceHCl\ce{HCl}. The added neutral solution does not consume any \ceHCl\ce{HCl}.

Total \ceHCl\ce{HCl} = 2 mol in 100 mL = 0.1 L

Step 4 — Molarity

M=20.1=20M = \tfrac{2}{0.1} = 20 M \ceHCl\ce{HCl}

Key Points to Remember:

  • Equal moles of strong acid and base completely neutralise each other
  • The neutral \ceNaCl\ce{NaCl} solution does not react with \ceHCl\ce{HCl} in the flask
  • Molarity = moles ÷\div volume (L)

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