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Question

A water sample analysis data is given below:
Ion Concentration mg/l Atomic Weight
Ca2+ 60 40
Mg2+ 30 24.31
HCO3 400 61

The carbonate hardness (expressed as mg/L, of CaCO3, up to one decimal place) for the water sample is
  1. 273.4

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Solution

The correct option is A 273.4
Total hardness
=[Ca++(mg/l)×50(40/2)+Mg++(mg/l)×50(24.31/2)]
=[60×5020+30×5012.155]
=273.4mg/l as CaCO3

Alkanity
=[HCO3(mg/l)×5061]
=400×5061
=327.87mg/l as CaCO3

Carbonate hardness = Minimum (total hardness, alkanity)

=273.4mg/l as CaCO3.

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