At certain temperature, the `H^(+)` ion concentration of water is `4 xx 10^(-7)` 'M then the value of `K_(w)`, at the same temperature is

Options

A. `10 ^(-14) M^(2) `
B. ` 4xx10 ^(-14) M^(2) `
C. ` 1.6 xx 10 ^(-13) M^(2) `
D. ` 4xx10 ^(-7) M^(2) `

Answer

C

Explanation

` [H^(+) ] [OH^(-) ]= K_W , As [H^(+) ] =[OH^(-)] `
` (4xx10 ^(-17) ) (4xx 10^(-17) ) = K_W`
` 16 xx 10 ^(-14) M^(2) (or) 1.6 xx 10^(-13) M^(2) `