In this method calculated amount of lime is added to hard water. It precipitates out calcium carbonate and magnesium hydroxide which can be filtered off(P)Mg(HCO3)2+2Ca(OH)2⟶2CaCO3↓+Mg(OH)2↓+2H2O
\left(T\right)Ca{\left({HCO}_{3}\right)}_{2} + Ca{\left(OH\right)}_{2} ⟶ 2{CaCO}_{3} ↓ + 2{H}_{2}O</p><p>(R)Ca(OH)2+MgCl2⟶Mg(OH)2+CaCl2
Acidifying barium peroxide and removing excess water by evaporation under reduced pressure gives hydrogen peroxide
(Q)BaO2+H2SO4⟶BaSO4+H2O2
\left(S\right){BaO}_{2} + 2HCl ⟶ {BaCl}_{2} + {H}_{2}{O}_{2}</p><p>I \to Q</p><p>II \to R</p><p>III \to S</p><p>IV \to P