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What volume of 0.1 M HCOONa solution sho...

What volume of `0.1 M HCOONa` solution should be added to `50ml` of `0.05 M` formic acid to produce a buffer solution of `pH=4.0`, `pK_(a)` of formic acid `=3.7`?

A

50ml

B

40ml

C

30ml

D

60ml

Text Solution

Verified by Experts

The correct Answer is:
A
Let V ml of 0.1 M HCOONa be mixed to 50ml of 0.05 M HCOOH in mixture
`[HCOONa]=(0.1 xx V)/((V+50))`
`[HCOOH]=(50 xx 0.05)/((V+50))`
`therefore pH =-log K_(a)+log (["Salt"])/(["Acid"])`
`4.0=3.7 +log ((0.1 xx V)//(V+50))/(2.5//(V+50)), V=50ml`
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