Answer
(a) $[OH^-] = 1.587 \times 10^{- 11}M$
(b) $[OH^-] = 1.282 \times 10^{- 6}M$
Work Step by Step
(a)
$[H_3O^+] * [OH^-] = Kw = 10^{-14}$
$ 6.3 \times 10^{- 4} * [OH^-] = 10^{-14}$
$[OH^-] = \frac{10^{-14}}{ 6.3 \times 10^{- 4}}$
$[OH^-] = 1.587 \times 10^{- 11}$
(b)
$[H_3O^+] * [OH^-] = Kw = 10^{-14}$
$ 7.8 \times 10^{- 9} * [OH^-] = 10^{-14}$
$[OH^-] = \frac{10^{-14}}{ 7.8 \times 10^{- 9}}$
$[OH^-] = 1.282 \times 10^{- 6}$