Question

The following balanced chemical equations represent the use of lime [Ca(OH)2] for softening of drinking water:...

The following balanced chemical equations represent the use of lime [Ca(OH)2] for softening of drinking water:

First step: lime added and all CO2 precipitates as CaCO3

                Ca(OH)2 + CO2 à CaCO3 + H2O

Second step: more lime added and all Ca2+ and HCO3- precipitate as CaCO3

                Ca(OH)2 + Ca2+ + 2HCO3- à 2CaCO3 + 2H2O

Third step: more lime added and Mg2+ and HCO3- are converted to MgCO3 which does not precipitate (also more CaCO3 precipitate is formed)

                Mg2+ + HCO3- + Ca(OH)2 à CaCO3 + MgCO3 + 2H2O

Fourth step: more lime added reacts with the MgCO3 to form two precipitates, Mg(OH)2 and CaCO3

                MgCO3 + Ca(OH)2 à CaCO3 + Mg(OH)2

Given the following concentrations of CO2 (8.5 mg/L), Ca2+ (48 mg/L), Mg2+ (39 mg/L), HCO3- (84 mg/L), and flow rate (1 MGD), determine the following:

a) the required lime [Ca(OH)2], lb/day

b) the total mass of precipitate (sludge) formed, lb/day

c) the total amount of water formed, gal/day

d) the residual concentrations of CO2, Ca2+, and Mg2+ (mg/L).

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