In a chemical reaction, 50 grams of calcium carbonate is heated to produce 28 grams of calcium oxide and an unknown mass of carbon dioxide. According to the law of conservation of mass, what is the mass of carbon dioxide produced?
22 grams
The law of conservation of mass states that mass can neither be created nor destroyed in a chemical reaction, so the total mass of the reactants equals the total mass of the products.
On heating, calcium carbonate decomposes: CaCO3 → CaO + CO2. So mass of calcium carbonate = mass of calcium oxide + mass of carbon dioxide, that is, 50 g = 28 g + mass of CO2.
Therefore, mass of carbon dioxide = 50 g – 28 g = 22 g.
Check: 28 g + 22 g = 50 g, which equals the mass of calcium carbonate taken. The molar masses agree as well: 100 g of CaCO3 gives 56 g of CaO and 44 g of CO2, so 50 g gives exactly 28 g of CaO and 22 g of CO2.
Hence, 22 grams.
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