Calculate the total, temporary and permanent hardness of water sample having following analysis: Mg(HCO3)2 = 73mg/l, Ca(HCO3)2 = 162mg/l, CaSO4 = 136mg/l, MgCl2 = 95 mg/l, CaCl2 = 111 mg/l and NaCl = 100 mg/l.
mole of Ca(HCO3)2 = (162 g/mole)/162×10-³mg ,= 1×10−3 moles
Mole of Ca(SO)4 = (136g/mole)/(136×10-3g) = 1×10-3 mole
Total mole of Ca=2×10 −3 mole
mass of CaCO3 = 2×10 −3 ×100=0.2g
∴ ppm (permanent hardness) = 6.2/1000 × 10^6 =200ppm
Mole of MgCl 2 = 95 ×10 −3g = 1×10 −3 mole
Mole Mg (HCO3) 2 = 146/73×10 −3 = 5 ×10-4 mole
mole Mg =1.5×10 −4 mole
Mole CaCO 3v= 1.5×10 −3
mass =1.5×10 −3
=0.150g
ppm (temporary hardness) = 100× 0.150×106=150ppm
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3. Determine the total hardness as CaCO3 of a sample of water that contains 0.81 mg/L of Ca(HCO3)2 and 0.73 mg/L of Mg(HCO3)2. Equivalent weights of Ca(HCO3)2 and Mg(HCO3)2 are 81.10 g/mol and 73.17 g/mol, respectively.
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