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Question

Calculate hardness in units of mg/l as CaCO$_3$ of a ground water sample having Ca$^{++}$ ion concentration of 100 mg/l.

The correct answer is
250

Calculate Groundwater Hardness as CaCO3

Groundwater hardness is commonly expressed in terms of the equivalent concentration of calcium carbonate (CaCO3). To calculate hardness from the concentration of specific ions like Ca++, a conversion factor based on their equivalent weights is used.

Determine Conversion Factor

The conversion factor is the ratio of the equivalent weight (EW) of CaCO3 to the EW of the ion (Ca++ in this case).

  • Equivalent Weight (EW) = Molecular Weight (MW) / Valence (n)
  • EW of CaCO3 = (100.09 g/mol) / 2 = 50.05 g/eq
  • EW of Ca++ = (40.08 g/mol) / 2 = 20.04 g/eq
  • Conversion Factor = $ \frac{EW_{CaCO_3}}{EW_{Ca^{++}}} $
  • Conversion Factor = $ \frac{50.05 \text{ g/eq}}{20.04 \text{ g/eq}} \approx 2.5 $

Calculate Total Hardness

Multiply the concentration of the ion by the conversion factor to get the hardness expressed as CaCO3.

  • Hardness (as CaCO3) = [Ca++] (in mg/l) × Conversion Factor
  • Hardness (as CaCO3) = 100 mg/l × 2.5
  • Hardness (as CaCO3) = 250 mg/l

Therefore, the hardness of the groundwater sample is 250 mg/l as CaCO3.

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Important Questions from Water Treatment

  1. In the flocculation method of water treatment ______ chemical is added to water.

  2. Which of the following is NOT a chemical coagulant used in water treatment? 

  3. Which laboratory test is done to determine approximately the dosage of coagulant?

  4. Statement I): Softening of clear groundwater should be carried out immediately after collection by pumping out, or from springs.

    Statement II): Iron and manganese precipitates can foul the exchange medium surface if oxidation occurs in, or prior to, the ion-exchange phase.

  5. Which process is used in water purification?

    A. Osmosis

    B. Reverse Osmosis

    C. Cytolysis

    D. Turgor pressure

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