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Calculate the hydrogen ion concentration and the …
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Problem 21 Easy Difficulty

What are the hydronium and hydroxide ion concentrations in a solution whose pH is 6.52$?$

Answer

$\begin{aligned} c\left(H_{3} O^{+}\right) &=3.02 \cdot 10^{-7} \mathrm{mol} L^{-1} \\ c\left(O H^{-}\right) &=3.31 \cdot 10^{-8} \mathrm{mol} L^{-1} \end{aligned}$

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Chemistry 102
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Chapter 14

Acid-Base Equilibria

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Video Transcript

problem. 21 from Chapter 14 is asking us to calculate the concentration of mine. Joanie, um, islands and hijack side islands of a solution that has a p h of 6.52 So to do this, um, we will use this pH to first calculate the concentration of hydro Liam piles. And the way we do that is by raising the pH to the power of 10. So let's go ahead and do that me concentration of hydro knee, um, ions. It's going to be equal to 10 to be power of the negative value on the pH. And when we saw that we get 3.2 times 10 to the minus seven moles per leader, which is just express Similarity capital. Great. So that's the concentration of hydro Nia Miles. But now, to calculate the concentration of hydroxide Arons, we must find out the peat o h so we can answer that by subtracting 14 um, some tracking the pH from 14 because we know that at the p. O. H. Plus, the P H is equal to 14. So if we subtract if hey, well, I'm not too so police attract to find t O H. It's a pack 14 from attract pH from 14. We gret 7.4 weeks. So that is our P O. H. And to calculate the concentration of Hard Rock side, I assume the ph. D. Do a similar thing as we did with the hydro Nia, my aunt, we just raised the p o. H to the negative. We raise the P O. H to the power button. So let's go ahead into not for the hydroxide ion equal to 10. Raise to the negative p o h value, which is negative 7.48 And when you do that, you get 3.31 times 10 to the minus eat moles per liter or polarity. So this is just applying the, um, inverse of what we do when we're given a concentration of hydro name or hydroxide ions to calculate ph. We take the log, but then to go backwards working from the pH of P. O h, we raised the P, O. H and P H and or pH to power tend to get the concentration of Hydra Liam and hydroxide ions, respectively.

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