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Question

A sample containing only CaCO3 and MgCO3 is ignited to CaO and MgO. The mixture of oxides produced weight exactly half as much as the original sample. The mass percentages of CaCO3 and MgCO3 in the sample are respectively :

A
28.4%, 71.6%
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B
71.6%, 28.4%
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C
56.7%, 43.3%
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D
78.5%, 21.5%
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Solution

The correct option is D 28.4%, 71.6%
The molar masses of calcium carbonate, magnesium carbonate, calcium oxide and magnesium oxide are 100 g/mol, 84.3 g/mol, 56 g/mol and 40.3 g/mol respectively.
Let 100 g of original sample contains x g of calcium carbonate and 100x g of magnesium carbonate respectively.
The amounts of calcium oxide and magnesium oxide obtained on the decomposition will be 0.56x g and 0.478(100x) g respectively.
Hence, x+100x=2(0.56x+0.478(100x)).
Hence, x=28.4 and 100x=71.6

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