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A mixture of weak acid is 0.1M in HCOOH ...

A mixture of weak acid is `0.1M` in `HCOOH (K_(a) = 1.8 xx 10^(-4))` and `0.1M` in `HOCN (K_(a) = 3.1 xx 10^(-4))`. Hence, `[H_(3)O^(o+)]` is

A

`7.0 xx 10^(-3)M`

B

`4.1 xx 10^(-4)M`

C

`0.20M`

D

`4.1 xx 10^(-3)M`

Text Solution

Verified by Experts

The correct Answer is:
A

Use: `[H^(o+)]_("mix") = sqrt(Sigma K_(ai)C_(i))`
`=sqrt(1.8 xx 10^(-4)xx0.1+3.1xx10^(-4)xx0.1)`
`=sqrt(4.9xx10^(-5)) M = 7 xx 10^(-3)M`
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