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Have you ever noticed the soapy ring that forms around a dirty tub?

Have you ever noticed the soapy ring that forms around a dirty tub? This is the product of hard water containing Ca+2 and Mg+2 ions reacting with soap. This soapy scum could also accumulate on our clothes if it wasn’t for detergents specifically designed to remove it. The main chemical used to remove these ions is Sodium Carbonate (a chemical used in this lab). Sodium carbonate is soluble while Calcium Carbonate and Magnesium Carbonate are not. Suppose the water in you home has a typical concentration of 3.6 x10-3 M Ca+2 and 1.0x10-3 M Mg+2. If your washing machine used 20.1 gallons of water how many grams of Sodium Carbonate are needed to completely precipitate all of the Calcium and Magnesium ions?

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