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A 100 ml mixture of Na(2)CO(3) and NaHCO...

A 100 ml mixture of `Na_(2)CO_(3)` and `NaHCO_(3)` is tittrated against 1 M HCl. If `v_(1)L` and `v_(2)L` are consumed when phenolphthalein and methyl orange are used as indicators respectively in two separate titrations, which of the following is true form molarities in the original solution.

A

molarity of `Na_(2)CO_(3)=20v_(1)`

B

molarity of `NaHCO_(3)=10(v_(2)-2v_(1))`

C

molarity of `Na_(2)CO_(3)=10(v_(2)+v_(1))`

D

molarity of `NaHCO_(3)=10(v_(2)-v_(1))`

Text Solution

Verified by Experts

The correct Answer is:
B
When HPh used
`(1)/(2)xx` Eqts of `Na_(2)CO_(3)` = Eq of HCl
`(1)/(2)xx(100)/(1000)xxM_(Na_(2)CO_(3))xx2=V_(1)xx1`
`M_(NC_(2)CO_(3))=10V_(1)......(1)`
When meOH used
Eqts of `NC_(2)CO_(3)+` Eqts of `NaHCO_(3)` = Eq of HCl
`((100)/(1000)xxM_(Na_(2)CO_(3))xx2)+((100)/(1000)xxM_(NCHCO_(3))xx1)=V_(2)xx1....(2)`
On solving (1), (2)
`M_(NaHCO_(3))=10(V_(2)-2V_(1))`
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