To determine the concentration of hydroxide ions (OH⁻) from the given pOH value, follow these steps:
1. Understand the formula:
The relationship between pOH and the concentration of OH⁻ ions is given by the formula:
[tex]\[
[OH^-] = 10^{-pOH}
\][/tex]
2. Substitute the given pOH value:
We have a pOH of 10.75. Substitute 10.75 into the formula:
[tex]\[
[OH^-] = 10^{-10.75}
\][/tex]
3. Calculate the result:
Evaluating [tex]\(10^{-10.75}\)[/tex] gives us the concentration of hydroxide ions. Therefore:
[tex]\[
[OH^-] = 1.7782794100389227 \times 10^{-11} M
\][/tex]
This is the scientific notation of the concentration, which can also be simplified to:
[tex]\[
[OH^-] \approx 1.778 \times 10^{-11} M
\][/tex]
Thus, among the given options, the correct answer is:
[tex]\[
1.778 \times 10^{-11} M
\][/tex]
