Sadie M. answered 11/09/21
Chemistry Teaching Expert! 8+ Years Experience- General & Organic Chem
Hi Josh,
There are two ways we can find pH:
First method:
Since we have [OH-] we can use the pOH formula first
pOH = -log[OH-]
pOH = -log(3.2 • 10-3)
pOH = 2.49
Now we use this formula to find pH by plugging in the pOH we just found:
pH + pOH = 14
pH + 2.49 = 14
pH = 11.51
Second Method:
Use the Kw formula to find [H+] then use pH formula
Kw = [H+][OH-]
1.0 • 10-14 = [H+][OH-]
*Let’s plug in [OH-] to the formula
1.0 • 10-14 = [H+][3.2•10-3]
*Divide to isolate [H+]
[H+] = 3.13 • 10-12
Now let’s plug the [H+] we just found into the pH formula
pH = -log[H+]
pH = -log(3.13 • 10-12)
pH = 11.5
Answer: pH = 11.5
Hope this helps :)