The `H^(+) ` ion concentration of a solution is ` 4xx10^(-5) ` M. Then the `OH^(-) ` ion concentration of the same solution is

Options

A. `4xx10^(-5) M`
B. ` 2.5xx10^(-9) M`
C. ` 1.0xx 10^(-7) M`
D. ` 2.5 xx 10^(-10) M`

Answer

D

Explanation

` [H^(+) ] = 4xx 10 ^(-5) M, {OH^(-) } =(K_W)/( [H^(+)]) `
` = ( 1xx10 ^(-14))/( 4xx10 ^(-5)) =0.25 xx1 0 ^(-9) `
` therefore [OH^(-) ] = 2.5 xx 10 ^(10) M`