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The dissoctiation of water of 25^(@)C is...

The dissoctiation of water of `25^(@)C` is `1.9 xx 10^(-7)%` and the density of water is `1g//cm^(3)` the ionisation constant of water is

A

`3.42xx10^(-6)`

B

`3.42xx10^(-8)`

C

`1.00xx10^(-14)`

D

`2.00xx10^(-16)`

Text Solution

Verified by Experts

The correct Answer is:
D
`alpha=1.9xx10^(-7)%=(1.9xx10^(-7))/(100),C=(1000)/(18)`
`K_(a)=([H^(-)][OH^(-)])/([H_(2)O])=Calpha^(2)`
`=1.9xx10^(-9)xx10^(-9)xx(1000)/(18)=2.0xx10^(-16)`
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