The pH of a 5.00 x 10 -2 M solution of potassium hydroxide, KOH, is ________.Group of answer choices1.313.5 9.05.012.7
Question
The pH of a 5.00 x 10 -2 M solution of potassium hydroxide, KOH, is ________.
Group of answer choices
- 3.5
- 9.0
- 5.0
- 12.7
Solution
To find the pH of a solution of potassium hydroxide (KOH), we first need to understand that KOH is a strong base. This means it will dissociate completely in water to form K+ and OH- ions. The concentration of OH- ions will be equal to the concentration of KOH.
Given that the concentration of KOH is 5.00 x 10^-2 M, the concentration of OH- ions will also be 5.00 x 10^-2 M.
The pOH of a solution is given by the negative logarithm (base 10) of the OH- concentration. So, we can calculate the pOH as follows:
pOH = -log[OH-] pOH = -log(5.00 x 10^-2) pOH = 1.3
The pH and pOH of a solution are related by the equation:
pH + pOH = 14
We can rearrange this equation to solve for pH:
pH = 14 - pOH pH = 14 - 1.3 pH = 12.7
So, the pH of a 5.00 x 10^-2 M solution of potassium hydroxide, KOH, is 12.7.
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