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A mixture of Na(2)CO(3) and NaHCO(3) hav...

A mixture of `Na_(2)CO_(3)` and `NaHCO_(3)` having a total weight of 100 gm on heating produced 11.2L of `CO_(2)` under STP conditions. The percentage of `Na_(2)CO_(3)` in the mixture is

A

`55.8%`

B

`44.2%`

C

`84%`

D

`16%`

Text Solution

Verified by Experts

The correct Answer is:
D

Let wt of `NaHCO_(3)=x`
`Na_(2)CO_(3)=(100-x)`
`2NaHCO_(3)rarrNa_(2)CO_(3)+H_(2)O+CO_(2)`
2 mol `NaHCO_(3)` gives 22.4 lit `CO_(2)` at STP
`therefore (x)/(84)` mol `NaCHCO_(3)` gives `(22.4)/(2)xx(x)/(84)`
`therefore (22.4)/(2)xx(x)/(84)=11.2impliesx=84`
`therefore Na_(2)CO_(3)=100-84=16implies%=16%`
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