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What happens when CO2 gas is passed through lime water?

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Lime water is a solution of calcium hydroxide (Ca(OH)2). When CO2 gas is passed through lime water, the following reaction occurs. 

Ca(OH)2 + CO2 → CaCO3↓ + H2O

                      (white precipitate)

The solution of lime water turns milky due to the formation of calcium carbonate, which is a white precipitate insoluble in water.

If CO2 gas is passed in excess amounts, then the above reaction occurs further. 

CaCO3↓ + H2O + CO2 → Ca(HCO3)2

                                     (soluble in water)

The product formed is calcium hydrogen carbonate, which is soluble in water. Hence the milky solution becomes a clear solution.

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