Questions: Where:
[OH^-] = hydroxide ion concentration
(a) Use the rules for logarithms and exponents to solve for pOH in terms of [OH^-].
pOH =
Transcript text: Where:
\[
\left[\mathrm{OH}^{-}\right]=\text {hydroxide ion concentration }
\]
(a) Use the rules for logarithms and exponents to solve for pOH in terms of $\left[\mathrm{OH}^{-}\right]$.
NOTE: Capitalization counts.
\[
\mathrm{pOH}=
\]
$\square$
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Solution
Solution Steps
Step 1: Understanding the Relationship Between pOH and Hydroxide Ion Concentration
The pOH of a solution is defined as the negative logarithm (base 10) of the hydroxide ion concentration. This relationship can be expressed mathematically as:
\[
\mathrm{pOH} = -\log_{10} \left[\mathrm{OH}^{-}\right]
\]
Step 2: Applying the Logarithm Rule
To solve for pOH in terms of \(\left[\mathrm{OH}^{-}\right]\), we use the definition directly. The logarithm rule states that the pOH is the negative logarithm of the hydroxide ion concentration.