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Calculate the pH of a buffer solution pr...

Calculate the `pH` of a buffer solution prepared by dissolving `10.6 g` of `Na_(2)CO_(3)` in `500 ml` of an aqueous solution containing `80 ml` of `1 M HCl`. `K_(a)` for `HCO_(3)^(-)=6xx10^(-11)`

A

8.6

B

9.6

C

11.6

D

12.6

Text Solution

Verified by Experts

The correct Answer is:
B
`Na_(2)CO_(3)+HCl to NaCl+NaHCO_(3)`
`{:(,"Meq. before "(10.6)/(106)xx1000,80 xx 1,,),(,"Reaction=100",80,0,0),(,"Meq. After 20",0,80,80):}`
Reaction: The solution `Na_(2)CO_(3) and HCO_(3)^(-)` and thus acts as buffer `pH =-log K_(a)+log ([CO_(3)^(-2)])/([HCO_(3)^(-)])`
`=-log 6 xx 10^(-11)+log""20/30`
=9.6
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