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Calculate the pH of a 10^(-5)M HCl solut...

Calculate the pH of a `10^(-5)M HCl` solution if 1mL of it is diluted to 1000mL. `K_(w)=1 xx 10^(-14)`.

A

`5`

B

`8`

C

`7.02`

D

`6.98`

Text Solution

Verified by Experts

The correct Answer is:
D

`M_(1)V_(1) = M_(2)V_(2)`
`10^(-5) xx1 = M_(2) xx 1000`
`M_(2) = 10^(-8)`
`[H_(3)O^(o+)] = 10^(-8)M`
Since the `[H_(3)O^(o+)] lt 10^(-6)`
so `pH ~~ 6.98`
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Knowledge Check

  • The pH of a 10^(-3) M HCl solution at 25^(@)C if it is diluted 1000 times, will be-

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    3
    B
    zero
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    5.98
    D
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    `10.7`
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