J.R. S. answered 04/19/21
Ph.D. University Professor with 10+ years Tutoring Experience
The definition of pH is the negative log of the [H3O+]. So if you know the pH, you can find the [H3O+] and if you know the [H3O+] you can find the pH. In question 1, you are given the pH of 7.48 and asked to find the [H3O+]. pH = -log [H3O+]
[H3O+] = 1x10-pH = 1x10-7.48 = 3.3x10-8 M (these conversions are algebra/math so you may need to review)
In question 2, you are given the [OH-] and asked to find the pH. The relationship between [H3O+] and [OH-] is
H3O+ x OH- = 1x10-14
H3O+ = 1x10-14 / [OH-] = 1x10-14 / 2.8x10-3 = 3.57x10-12 M
pH = -log [H3O+] = -log 3.57x10-12
pH = 11.4
Done another way:
pH + pOH = 14
pOH = -log [OH-] = -log 2.8x10-3
pOH = 2.55
pH = 14 - pOH = 14 - 2.55
pH = 11.4