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Question

21.2 g sample of impure Na2CO3 is dissolved and reacted with a solution of CaCl2, the weight of CaCO3 formed was 10.0 g. Which of the following statements is/are correct?

A
The percentage purity of Na2CO3 is 50%
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B
The percentage purity of Na2CO3 is 60%
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C
The number of moles of Na2CO3=CaCO3=0.1 mol
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D
The number of moles of NaCl formed is 0.1 mol
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Solution

The correct option is C The number of moles of Na2CO3=CaCO3=0.1 mol
Given: Mass of Na2CO3=21.2 g
Mass of CaCO3=10 g
Molar mass of Na2CO3=(23×2)+12+(16×3)=106 g
Molar mass of CaCO3=40+12+(16×3)=100 g
Let, mass of impurity =x g
Balanced chemical reaction is
Na2CO3+CaCl2CaCO3+2NaCl
From stoichiometry:
Moles of Na2CO3= Moles of CaCO3
Since, moles = mass/Molar mass
21.2x106=10100
21210x=106
x=10.6 g
% purity of Na2CO3=Mass of pure Na2CO3Mass of impure Na2CO3×100
=10.621.2×100=50%
Moles of Na2CO3=21.2x106=21.210.6106=0.1
Moles of CaCO3=10100=0.1
From stoichiometry,
moles of Na2CO31=moles of NaCl2
moles of NaCl=0.1×2=0.2
So, options a and c are correct.

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