We first need to express calcium and magnesium hardness as CaCO3.
Cacium hardness as CaCO3 = (Conc. of Ca2+ ion/Equivalent wt. of Calcium) x Equivalent wt. of CaCO3
= (160 mg/L / 20) x 50
= 400 mg/L as CaCO3
Magnesium hardness as CaCO3 = (Conc. of Mg2+ ion / Equivalent wt. of magnesium) x Equivalent wt. of CaCO3
=(40 mg/L / 12) x 50
= 166. 67 mg/L as CaCO3
Total Hardness = Calcium Hardness + Magnesium Hardness
= 400 + 166.67 = 566.67 mg/L as CaCO3
Total Carbonate Hardness = Total Alkalinity = 200 mg/L as CaCO3
Total Non carbonate Hardness = Total Hardness - Carbonate Hardness = 566.67 - 200 = 366.67 mg/L as CaCO3
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