Answer:
The answer is 12.35
Explanation:
From the question we are given that the concentration of [tex]H^{+}[/tex] is [tex]8.1 * 18^{-6}M[/tex]
Generally The rate equation is given as
[tex]K_{w} = [H^{+} ][OH^{-} ][/tex]
and [tex]K_{w}[/tex] the rate constant has a value [tex]1 * 10^{-14}[/tex]
Substituting and making [[tex]OH^{-}[/tex]] the subject we have
[tex][OH^{-} ] = \frac{1 * 10^{-14}}{[H^{+}]} = \frac{1 * 10^{-14}}{8.1 *10^{-6}} =1.235 * 10^{-9}[/tex]
[tex][OH ^ {-}] = 1.235 * 10^{-9}M[/tex]
Multiply the value by [tex]10^{10}[/tex] as instructed from the question we have
Answer = [tex]1.235 * 10 ^{-9} * 10^{10} = 12.35[/tex]
Hence the answer in 2 decimal places is 12.35
