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What is [H^+] in mol/L of a solution tha...

What is `[H^+]` in mol/L of a solution that is 0.20 M in `CH_(3)COONa` and 0.10 M in `CH_(3)COOH ? K_(a)` for `CH_(3)COOH=1.8 xx 10^(-5)`.

A

`3.5 xx 10^(-4)`

B

`1.1 xx 10^(-5)`

C

`1.8 xx 10^(-5)`

D

`9.0 xx 10^(-6)`

Text Solution

Verified by Experts

The correct Answer is:
D
`underset("C-x")( CH_(3)COOH) to underset(x)(CH_(3)COO^(-))+underset(x)(H^+)`
`underset(0.2M)(CH_(3)COONa) to underset(0.2M)(CH_(3)COO^(-))+underset(0.2M)(Na^(+))`
`K_(a)=([CH_(3)COO^(-)] [H^+])/([CH_(3)COOH])`
`[CH_(3)COOH]=C-x approx 0.1 M`
`[CH_(3)COO^(-)]=0.2 +x approx 0.2M`
`[H^+]=(K_(a) [CH_(3)COOH])/([CH_(3)COO^(-))]=(1.8 xx 10^(-5) xx 10^(-1))/(2 xx 10^(-1))=9 xx 10^(-6) M`
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