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Dolomite is a mineral consisting of calcium carbonate and magnesium carbonate. When dolomite is strongly heated, its carbonates decompose to their oxides (CaO and MgO) and carbon dioxide is expelled.

(a) Write separate equations for the decompositions of calcium carbonate and magnesium carbonate.

(b) When a dolomite sample with a mass of 5.78 g was heated strongly, the residue had a mass of 3.02 g. Calculate
the masses in grams and the percentages of calcium carbonate and magnesium carbonate in this sample of dolomite.

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