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NEET CHEMISTRYSome Basic Concepts of ChemistryMedium

Question

Concentrated aqueous sulphuric acid is 98%98\% H2SO4\text{H}_2\text{SO}_4 by mass and has a density of 1.80 g mL11.80\text{ g mL}^{-1}. Volume of acid required to make one litre of 0.1 M0.1\text{ M} H2SO4\text{H}_2\text{SO}_4 solution is:

A

11.10 mL11.10\text{ mL}

B

16.65 mL16.65\text{ mL}

C

22.20 mL22.20\text{ mL}

D

5.55 mL5.55\text{ mL}

Step-by-Step Solution

First, find the molarity of the concentrated sulphuric acid solution. Molarity (M1M_1) = Mass percentage×10×DensityMolar mass\frac{\text{Mass percentage} \times 10 \times \text{Density}}{\text{Molar mass}} Molar mass of H2SO4=(2×1)+32+(4×16)=98 g mol1\text{H}_2\text{SO}_4 = (2 \times 1) + 32 + (4 \times 16) = 98\text{ g mol}^{-1}. M1=98×10×1.8098=18 MM_1 = \frac{98 \times 10 \times 1.80}{98} = 18\text{ M}. Now, use the dilution formula to find the volume required (V1V_1) to prepare 1 L1\text{ L} (1000 mL1000\text{ mL}) of 0.1 M0.1\text{ M} H2SO4\text{H}_2\text{SO}_4 solution. M1V1=M2V2M_1V_1 = M_2V_2 18×V1=0.1×100018 \times V_1 = 0.1 \times 1000 18×V1=10018 \times V_1 = 100 V1=100185.55 mLV_1 = \frac{100}{18} \approx 5.55\text{ mL}.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Some Basic Concepts of Chemistry. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYSome Basic Concepts of Chemistryconcentratedaqueoussulphurictexthtextsodensity

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