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

Options

A. `1.0 xx 10^(-14)`
B. `2.0 xx 10^(-16)`
C. `1.0 xx 10^(-16)`
D. `1.0 xx 10^(-8)`

Answer

B

Explanation

For water `K_(w) = ([H^(+)][OH^(-)])/([H_(2)O]), K = 1.9 xx 10^(-9), C = (100)/(18)`
`K = 1.9 xx 10^(-9) xx 1.9 xx10^(-9) xx 1000/18`
`= 2.0 xx 10^(-16)`