Final answer:
To find the pH of a solution with a known [OH-] concentration of 5.38×10⁻³ M, the pOH is first calculated as 2.27, and then we subtract this from 14 to get a pH of 11.73, which is not listed among the provided options.
Step-by-step explanation:
To calculate the pH of a solution with a given hydroxide ion concentration [OH-], we can use the following steps:
- Calculate the pOH of the solution by taking the negative base-10 logarithm of the OH- concentration.
- Subtract the pOH from 14 to find the pH.
First, we calculate the pOH for the given concentration of OH- ions, which is 5.38×10⁻³ M:
pOH = -log(5.38×10⁻³) = 2.27
Then, we subtract this value from 14 to find the pH:
pH = 14.00 - pOH = 14.00 - 2.27 = 11.73
Therefore, none of the options given (A, B, C, D) is correct.