Softening of water by Hot and Cold lime Soda method and numerical problems

A sample of water contains following impurities :
Mg(HCO3)2 =73 mg/lit , MgSO4 = 120 mg/lit , CaCl2 = 222 mg/lit and Ca(NO3)2 = 164 mg/lit . The purity of lime is 74% and soda is 90% . Calculate the quantity of lime and soda needed for softening of 50,000 litres of water .

Calculate the amount of lime (85% pure) and soda (95% pure) required to soften one million litre of water which contains CaCO₃ = 12. 5ppml MgCO₃ = 8.4ppml
CaCl₂ = 22.2ppml ,  MgCl₂ = 9.5ppml C0₂ = 33ppml HCI = Z3ppml  organic matter= 16.Bppm 

Calculate the amount of lime {80 %purity) and soda {90% purity) required for softening of 50,000 of hard water whose chemical analysis results are given below. Ca(HCO₃ ) = 40.5 mg/L, Mg( HCO₃)₂ = 73.0 mg/L, MgSO₄ = 60.0 mg/L, CaSO₄ = 34.0 mg/L, CaCl₂ = 27.5 mg/L and NaCI = 20.0 mg/L.

Calculate the quantity of the pure lime and soda required for softening of 1,00,000 litres of water containing the following impurities in ppm. The purity of lime is 70% and soda is BS% Ca(HCO₃) = 30.2 , Mg(HCO₃) = 20.8 ,CaCI₂ = 28.1 ,MgCl₂ = 8.78, CaSO₄ = 35, MgSO₄ = 6.7 .

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