Final answer:
To calculate [H+], use the concentration of HClO4. [ClO4-] is half of [H+]. [OH-] can be calculated using Kw.
Step-by-step explanation:
To calculate the hydronium ion concentration ([H+]), we use the fact that HClO4 is a strong acid and completely ionizes in water. Therefore, [H+] will be equal to the concentration of HClO4, which is 0.170 M.
To calculate the perchlorate ion concentration ([ClO4-]), we need to consider that HClO4 is a monoprotic acid, meaning it only donates one proton. Therefore, [ClO4-] will be half of [H+], which is 0.085 M.
The hydroxide ion concentration ([OH-]) can be calculated using the ion product constant for water (Kw), which is equal to 1.0 x 10^-14 at 25 °C. Since Kw = [H+][OH-], we can rearrange the equation to solve for [OH-]. Plugging in the [H+] value we calculated earlier, we get [OH-] = Kw / [H+] = (1.0 x 10^-14) / (0.170) ≈ 5.88 x 10^-14 M.