Question #17d18

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Answer 1 · 2017-05-22T17:31:07

$1.2 \times 10^{- 10} M$ $1.2 xx 10^-10M$

We're trying to find the $[H_{3} O^{+}]$ $[H_3O^+]$ of a solution with a given $p O H$ $pOH$ .

We know that $p H$ $pH$ and the $p O H$ $pOH$ must add up to $14.00$ $14.00$ :

$p H + p O H = 14.00$ $pH + pOH = 14.00$

and the relationship between $p H$ $pH$ and the $[H_{3} O^{+}]$ $[H_3O^+]$ is

$[H_{3} O^{+}] = 10^{- p H}$ $[H_3O^+] = 10^(-pH)$

Thus,

$p H = 14.00 - 4.07 = 9.93$ $pH = 14.00 - 4.07 = 9.93$

$[H_{3} O^{+}] = 10^{- 9.93} = 1.2 \times 10^{- 10} M$ $[H_3O^+] = 10^(-9.93) = color(red)(1.2 xx 10^-10 M$