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The pH of 10^(-8) M HCl solution is :...

The pH of `10^(-8)` M HCl solution is :

A

8

B

`6.9586`

C

more than 8

D

slightly more than 7.

Text Solution

Verified by Experts

The correct Answer is:
B

Concentration of `HCl = 10^(-8)M`
`therefore [H^(+)]=10^(-8)M`
Ionic product of water, `K_(w)=[H^(+)][OH^(+)]=10^(-14)`
or `[H^(+)]=[OH^(-)]=10^(-7)M`
`therefore` Total `[H^(+)]=(10^(-8)+10^(-7))M`
`=10^(-7)(10^(-1)+1)M`
`=1.1xx10^(-7)M`
`pH=-log[H^(+)]`
`=-log (1.1xx10^(7))`
`=6.9586`.
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