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ExamsJEE AdvancedChemistry

A water sample has hardness due to the presence of CaCl2 only. A 10 kg sample of this hard water requires 10.6 g of Na2CO3 for complete removal of hardness. What is the degree of hardness of the water sample expressed in ppm of CaCO3? [Atomic masses: Na = 23, Ca = 40, Cl = 35.5]

  1. 500 ppm
  2. 1000 ppm
  3. 1500 ppm
  4. 2000 ppm

Correct answer: 1000 ppm

Solution

10.6 g of Na2CO3 = 0.1 mol, producing 0.1 mol CaCO3 = 10 g = 10,000 mg. 10 kg water = 10 L, so hardness = 10,000 mg / 10 L = 1000 ppm.

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