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What volume must 1L of 0. 5 M CH (3) COO...

What volume must `1L of 0. 5 M CH _(3) COOH`solution should be diluted with water in order to double OH^(-) concentration? `K _(a) = 1. 8 xx 10 ^(-5)`

A

`3.7 xx 10 ^(4) L`

B

`2.76 xx 10 ^(3) L`

C

`3.10 xx 10 ^(3) L`

D

4 L`

Text Solution

Verified by Experts

The correct Answer is:
A
pH of `0.5 M CH _(3) COOH ` is `2.523`
After dilution `pH = 5. 0 46 , H = 9 xx 10 ^(-6) M`
`CH _(3) COOH hArr CH _(3) CO _(2 ) + H`
`therefore K_(a) = (x ^(2))/( C -x) " " therefore C = 1. 35 xx 10 ^(-5) M`
`M _(1) V _(1) = M _(2) V_(2)" " 1 xx (0.5) = (1. 35 xx 10 ^(-5)) V " " `
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