20 g mixture of Na2CO3 and CaCO3 is gently heated and 2.24 litre of CO2 at STP is produced. What is the % weight of Na2CO3 in that sample?
12.5%
25%
50%
75%
We know that Na2CO3 does not decompose on heating. So CO2 will be produced by only CaCO3
CaCO3(s)→CaO(s) + CO2(g)
By reaction stoichiometry
Mole of CaCO3 = mole of CO2
Mole of CaCO3 = 2.24 litre
Mole of CaCO3 = 2.24/22.4 mole
Mole of CaCO3 = 0.1 mole
Now,
Weight of CaCO3 = mole X molar mass of CaCO3
Weight of CaCO3 = 0.1 X 100 = 10g
wt. of Na2CO3 = 20g - wt. of CaCO3
wt. of Na2CO3 = 20g - 10 = 10g
% wt. of Na2CO3 = (10/20)X100 % = 50%
Therefore, Option(3) is correct.