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Question

A mixture of potassium carbonate and calcium carbonate is subjected to decomposition. The percentage loss in weight was 11%. Find out the ratio of the amount of potassium carbonate to calcium carbonate in the mixture.

A
1:3
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B
3:1
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C
4:1
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D
1:4
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Solution

The correct option is B 3:1
As we know, potassium carbonate does not decompose on heating. Calcium carbonate decomposes to give CaO and CO2 and loss in weight is equal to the amount of CO2 formed.
Let the weight of mixture =100=100 g.
Loss in weight == Amount of CO2 formed =11=11 g
4444 g CO2 is formed from 100100 g CaCO3
1111 g CO2 is formed from =11×100/44=11×10044 =25=25 g CaCO3
Weight of K2CO3 in the mixture =100−25=75=100−25=75 g
The ratio of K2CO3 and CaCO3
=75:25
=3:1

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