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NEET CHEMISTRYSome Basic Concepts of ChemistryMedium

Question

Calculate the mass of 95% pure CaCO3CaCO_3 that will be required to neutralize 50 mL of 0.5 M HCl solution according to the following reaction: CaCO3(s)+2HCl(aq)CaCl2(aq)+CO2(g)+2H2O(l)CaCO_3(s) + 2HCl(aq) \rightarrow CaCl_2(aq) + CO_2(g) + 2H_2O(l) [Calculate up to the second place of decimal point]

A

9.50 g

B

1.25 g

C

1.32 g

D

3.65 g

Step-by-Step Solution

  1. Calculate Moles of HCl: Using the molarity formula [Class 12 Chemistry, Ch 1, Eq. 1.8]: Moles of HCl=Molarity×Volume (L)\text{Moles of HCl} = \text{Molarity} \times \text{Volume (L)} nHCl=0.5 mol L1×0.050 L=0.025 moln_{HCl} = 0.5 \text{ mol L}^{-1} \times 0.050 \text{ L} = 0.025 \text{ mol}
  2. Determine Stoichiometry: From the balanced equation, 1 mol CaCO31 \text{ mol } CaCO_3 reacts with 2 mol HCl2 \text{ mol } HCl. Moles of pure CaCO3=12×nHCl=0.0252=0.0125 mol\text{Moles of pure } CaCO_3 = \frac{1}{2} \times n_{HCl} = \frac{0.025}{2} = 0.0125 \text{ mol}
  3. Calculate Mass of Pure CaCO3CaCO_3: Molar mass of CaCO3=40+12+(3×16)=100 g mol1CaCO_3 = 40 + 12 + (3 \times 16) = 100 \text{ g mol}^{-1}. Masspure=0.0125 mol×100 g mol1=1.25 g\text{Mass}_{pure} = 0.0125 \text{ mol} \times 100 \text{ g mol}^{-1} = 1.25 \text{ g}
  4. Adjust for Purity: The sample is 95% pure, meaning 0.95×Masssample=Masspure0.95 \times \text{Mass}_{sample} = \text{Mass}_{pure}. Masssample=1.25 g0.951.3157 g\text{Mass}_{sample} = \frac{1.25 \text{ g}}{0.95} \approx 1.3157 \text{ g} Rounding to two decimal places, the required mass is 1.32 g.

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.

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