A sample of CaCO3 and MgCO3 weighed 2.21 g is ignited to constant weight of 1.152 g. The composition of mixture is : (Given molar mass in g mol-1 CaCO3 : 100, MgCO3 : 84)
- 1.187 g CaCO3 + 1.187 g MgCO3
- 1.187 g CaCO3 + 1.023 g MgCO3
- 1.023 g CaCO3 + 1.187 g MgCO3
- 1.023 g CaCO3 + 1.023 g MgCO3
Answer
(2) 1.187 g CaCO3 + 1.023 g MgCO3
Solution
CaCO3 CaO + CO2 ; MgCO3 MgO + CO2
Let mass of CaCO3 = x g ⇒ mass of MgCO3 = (2.21 − x) g
∵ 1 mol carbonate gives 1 mol oxide (CaO = 56, MgO = 40):
56x100 + 40(2.21 - x)84 = 1.152
0.560x + 1.0524 - 0.4762x = 1.152
0.0838x = 0.0996 x 1.187 g
∴ CaCO3 = 1.187 g
MgCO3 = 2.21 − 1.187 = 1.023 g
Answer: (2)