MCQEasyJEE 2025Stoichiometry & Calculations

JEE Chemistry 2025 Question with Solution

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 into a volumetric flask of 100 mL containing 2 moles of HCl and made the volume upto the mark with distilled water. The solution in this flask is :

  • A

    0.2 M NaCl solution

  • B

    20 M HCl solution

  • C

    10 M HCl solution

  • D

    Neutral solution

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given:

  • 10mL10 \, \text{mL} of 2M2 \, \text{M} NaOH
  • 20mL20 \, \text{mL} of 1M1 \, \text{M} HCl
  • 10mL10 \, \text{mL} of the resulting mixture is transferred to a 100mL100 \, \text{mL} volumetric flask containing 22 moles of HCl

Find: The nature of the final solution in the flask.

First, determine the composition of the initial mixture.

Moles of NaOH=0.01L×2mol/L=0.02mol\text{Moles of NaOH} = 0.01 \, \text{L} \times 2 \, \text{mol/L} = 0.02 \, \text{mol} Moles of HCl=0.02L×1mol/L=0.02mol\text{Moles of HCl} = 0.02 \, \text{L} \times 1 \, \text{mol/L} = 0.02 \, \text{mol}

The reaction is

NaOH+HClNaCl+H2O\text{NaOH} + \text{HCl} \rightarrow \text{NaCl} + \text{H}_2\text{O}

Since NaOH and HCl are present in equal moles, they completely neutralize each other. So, the beaker contains a neutral NaCl solution with no excess acid or base.

Now, 10mL10 \, \text{mL} of this neutral mixture is added to the volumetric flask already containing 22 moles of HCl. This transferred portion does not contribute any extra HCl or NaOH.

The final volume is 100mL=0.1L100 \, \text{mL} = 0.1 \, \text{L}. Therefore,

[HCl]=2mol0.1L=20M\text{[HCl]} = \frac{2 \, \text{mol}}{0.1 \, \text{L}} = 20 \, \text{M}

Therefore, the solution in the flask is 20M20 \, \text{M} HCl solution. The correct option is B.

Stepwise Stoichiometric Analysis

Given: Neutralization between NaOH and HCl occurs first, and then part of that mixture is added to a flask containing HCl.

Find: Final concentration and nature of solution in the flask.

Step 1: In the beaker,

NaOH=2M×101000L=0.02mol\text{NaOH} = 2 \, \text{M} \times \frac{10}{1000} \, \text{L} = 0.02 \, \text{mol} HCl=1M×201000L=0.02mol\text{HCl} = 1 \, \text{M} \times \frac{20}{1000} \, \text{L} = 0.02 \, \text{mol}

Step 2: Because the reaction ratio is 1:11:1, both are consumed completely. Thus, the resulting solution contains only NaCl and water, so it is neutral.

Step 3: Taking 10mL10 \, \text{mL} from this neutral solution means only neutral NaCl solution is transferred. The flask already has 22 moles of HCl, so the acid present in the flask remains 22 moles.

Step 4: After dilution to 100mL100 \, \text{mL},

Molarity=20.1=20M\text{Molarity} = \frac{2}{0.1} = 20 \, \text{M}

Hence, the final solution is 20M20 \, \text{M} HCl solution, so the correct option is B.

Common mistakes

  • Students may think that because the first mixture becomes neutral, the final flask must also be neutral. This is wrong because the volumetric flask already contains 22 moles of HCl. Always account for substances already present in the receiving flask.

  • A common mistake is to ignore the neutralization in the beaker and assume some NaOH remains. This is incorrect because both NaOH and HCl are present in equal moles, so they react completely in a 1:11:1 ratio.

  • Some students use the total transferred volume incorrectly and forget that the final volume is made up to 100mL100 \, \text{mL}. Concentration must be calculated using the final volume after dilution, not the intermediate transferred volume.

Practice more Stoichiometry & Calculations questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step — free to start.

Related questions