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The pH of a 0.1 molar solution of the ac...

The `pH` of a `0.1` molar solution of the acid `HQ` is `3`. The value of the ionisation constant, `K_(a)` of the acid is

A

`3 xx 10^(-1)`

B

`1 xx 10^(-3)`

C

`1 xx 10^(-5)`

D

`1 xx 10^(-7)`

Text Solution

Verified by Experts

The correct Answer is:
C

`{:(HQ,hArr,H^(+),+,Q),(0.1,,,,),(0.1 - x,,x,,x):}`
`pH = 3, [H^(+)] = 10^(-3), x = 10^(-3)`
`K_(a) = ((x) xx (x))/((0.1 - x)) = ((10^(-3))^(2))/(0.1 - 10^(-3)) ~ (10^(-6))/(0.1) = 10^(-5)`
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