Seawater has a pH of 8.100. What is the concentration of OH–?

2 Answers
Apr 10, 2018

10^-5.9 approx 1.26 times 10^-6 mol dm^-3105.91.26×106moldm3

Explanation:

If the pHpH is 8.1, and we assume that this is measured under standard conditions, we can use the relationship:

pH+pOH=pK_wpH+pOH=pKw

At 25 degrees celcius, pK_w=14pKw=14
Where K_wKw is the dissociation constant for water- 1.0 times 10^-141.0×1014,(At 25 degrees C) but pK_wpKw is the negative logarithm of K_wKw.

pK_w=-log_10[K_w]pKw=log10[Kw]

From this, we can convert pHpH, the measure of H_3O^+H3O+ ions, into pOHpOH, the measure of OH^-OH ions in the seawater:

pH+pOH=14pH+pOH=14
8.1+ pOH=148.1+pOH=14
pOH=5.9pOH=5.9

Then we know that:
pOH=-log_10[OH^-]pOH=log10[OH]
So to rearrange the equation to solve for [OH^-][OH]:

10^(-pOH)= [OH^-]10pOH=[OH]
Hence:

10^(-5.9)=[OH^-] approx 1.26 times 10^-6 mol dm^-3105.9=[OH]1.26×106moldm3

Apr 10, 2018

1.26*10^-6 \ "M"

Explanation:

Well, the "pH" of the seawater is 8.1, and so its "pOH" is:

"pOH"=14-8.1

=5.9

The "pOH" of a substance is related through the equation,

"pOH"=-log[OH^-]

  • [OH^-] is the hydroxide ion concentration in terms of molarity.

And so, we got:

-log[OH^-]=5.9

[OH^-]=10^-5.9

~~1.26*10^-6 \ "M"