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GATE 2023 MN – Question 55

Surface Environment, Mine Ventilation and Underground Hazards · Surface Environment · 2 marks · Numerical answer

Groundwater contains Ca²⁺ at 200 mg/L. Find calcium carbonate equivalent hardness in mg/L, to one decimal.

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Correct answer: 490 to 510

Explanation

Hardness expressed as CaCO₃ uses equivalent-weight conversion. Calcium equivalent weight is approximately 40/2=20; CaCO₃ equivalent weight is 100/2=50. Thus hardness is 200×50/20=500.0 mg/L as CaCO₃. This converts calcium-ion mass rather than adding carbonate physically.

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