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The dissociation constant of acetic acid...

The dissociation constant of acetic acid `K_(a)` is `1.74 xx 10^(-5)` at 298 K. The pH of a solution of 0.1 M acetic acid is :

A

`2.88`

B

`3.6`

C

`4.0`

D

`1.0`

Text Solution

Verified by Experts

The correct Answer is:
A
For `0.1 ` M acetic acid, ir `G = 0.1 ML ^(-1)`
`K _(a) = 1.74 xx 0 ^(-5)`
`pH = ?`
According to Ostwald dilution formula,
`[H^(+)] = sqrt (k _(1) xx C)`
`=sqrt (1 . 7 xx 10 ^(-5) xx 0.1)`
`sqrt ( 0. 0 17 xx 10 ^(-4))`
`pH =- log _(10) [H^(+)]`
`= - log _(10) [ sqrt (0.017 xx 10 ^(-4))]`
`pH = 2.88`
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