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^-141.0×10−14,(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^-]10−pOH=[OH−]
Hence:
10^(-5.9)=[OH^-] approx 1.26 times 10^-6 mol dm^-310−5.9=[OH−]≈1.26×10−6moldm−3