When carbon dioxide gas is passed through lime water, it turns milky or turbid due to the formation of calcium carbonate which is insoluble in water. Following is the chemical equation for the reaction
Ca(OH)2 + CO2 → CaCO3 + H2O
However, when excess of carbon dioxide is passed through the solution, the turbidity disappears and a clear solution is obtained due to the formation of calcium bicarbonate, which is soluble in water. Following is the chemical equation for the reaction
CaCO3 + H2O + CO2 → Ca(HCO3)2