At certain temperature the `H^(+)` ions 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. `2.5 xx 10^(-13) M^(2)`
C. `1.6 xx 10^(-13) M^(2)`
D. `4 xx 10^(-7) M^(2)`

Answer

C

Explanation

`H_(2)O hArr H^(+) + OH^(-)`
`4 xx 10^(-7) , 4 xx 10^(7)`
`K_(w) = 4 xx 10^(-7) xx 4 xx 10^(-7)`
`= 16 xx 10^(-14)`
`= 1.6 xx 10^(-13)`