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NEET CHEMISTRYSome Basic Concepts of ChemistryMedium

Question

The molecular formula of a commercial resin used for exchanging ions in water softening is C8H7SO3NaC_8H_7SO_3Na (Mol. Wt. 206). The maximum uptake of Ca2+Ca^{2+} ions by the resin when expressed in mole per gram resin is based on the reaction: 2C8H7SO3Na+Ca2+(C8H7SO3)2Ca+2Na+2C_8H_7SO_3Na + Ca^{2+} \rightarrow (C_8H_7SO_3)_2Ca + 2Na^+

A

1/103

B

1/206

C

2/309

D

1/412

Step-by-Step Solution

  1. Analyze Stoichiometry: From the balanced chemical equation, 2 moles of the resin (C8H7SO3NaC_8H_7SO_3Na) react with 1 mole of calcium ions (Ca2+Ca^{2+}) to maintain charge neutrality (replacing two +1+1 ions with one +2+2 ion).
  2. Calculate Mass of Resin:
  • Molar Mass of Resin = 206 g mol1206 \text{ g mol}^{-1}.
  • Mass of 2 moles of Resin = 2×206 g=412 g2 \times 206 \text{ g} = 412 \text{ g}.
  1. Calculate Uptake:
  • The uptake is defined as the moles of Ca2+Ca^{2+} absorbed per gram of resin.
  • Uptake = Moles of Ca2+Mass of Resin\frac{\text{Moles of } Ca^{2+}}{\text{Mass of Resin}}
  • Uptake = 1 mol412 g\frac{1 \text{ mol}}{412 \text{ g}}
  • Uptake = 1412 mol g1\frac{1}{412} \text{ mol g}^{-1}.

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 Chemistrymolecularformulacommercialexchangingsoftening

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