1.84 gram of a mixture of calcium carbonate and magnesium carbonate was heated to a constant weight. The constant weight of the residue was found to be 0.96 gram. Calculate the percentage composition of the mixture.
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Molar mass of CaCO3 = 100g/mol
Molar mass of MgCO3=84.3 g/mol
Let number of moles of CaCO3 and MgCO3 in the mixture is X & Y respectively .
So
100X+84.3 Y= 1.84.......................(1)
On heating the mixture...

CO2 goes off from the product but mixture of CaO and MgO remains in the solid form.
Molar mass of CaO= 56g/mole
Molar mass of MgO= 40.3 g/mole
From the equation it is clear that number of moles of MgO & CaO in product mixture is same as that of respective carbonates in the reactant mixture.
so
56X+40.3Y=0.96........................(2)
Solving equation 1 and 2 we get.
Y=0.01
X=0.009
Thus mass of CaCO3 in mixture =100 X 0.0098 =0.98 g
Mass of MgCO3 in mixture = 84.3 X 0.01= 0.86 g
Mass % of CaCO3 in mixture=

Mass % of MgCO3 in mixture =
100-53.26= 46.74%
Molar mass of MgCO3=84.3 g/mol
Let number of moles of CaCO3 and MgCO3 in the mixture is X & Y respectively .
So
100X+84.3 Y= 1.84.......................(1)
On heating the mixture...

CO2 goes off from the product but mixture of CaO and MgO remains in the solid form.
Molar mass of CaO= 56g/mole
Molar mass of MgO= 40.3 g/mole
From the equation it is clear that number of moles of MgO & CaO in product mixture is same as that of respective carbonates in the reactant mixture.
so
56X+40.3Y=0.96........................(2)
Solving equation 1 and 2 we get.
Y=0.01
X=0.009
Thus mass of CaCO3 in mixture =100 X 0.0098 =0.98 g
Mass of MgCO3 in mixture = 84.3 X 0.01= 0.86 g
Mass % of CaCO3 in mixture=

Mass % of MgCO3 in mixture =
100-53.26= 46.74%
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