Answer: The concentration of hydrogen ion in the given solution is [tex]2.81 \times 10^{-10}[/tex].
Explanation:
pOH of a solution is the negative logarithm of concentration of hydroxide ions.
Hence, if [tex][OH^{-}][/tex] is [tex]3.5 \times 10^{-5}[/tex] then its pOH value is calculated as follows.
[tex]pOH = -log [OH^{-}]\\= -log (3.5 \times 10^{-5})\\= 4.45[/tex]
Now, the relation between pH and pOH is as follows.
pH + pOH = 14
pH + 4.45 = 14
pH = 14 - 4.45
= 9.55
And, pH is the negative logarithm of concentration of hydrogen ions. Hence, [tex][H^{+}][/tex] is calculated as follows.
[tex]pH = -log [H^{+}]\\9.55 = -log [H^{+}]\\H^{+} = 2.81 \times 10^{-10}[/tex]
Thus, we can conclude that the concentration of hydrogen ion in the given solution is [tex]2.81 \times 10^{-10}[/tex].