Calculate the pH of each of the following:
1. [OH-] = 3.0 x 10-9
2. 0.024 M HCI
3. 0.022 M NaOH
4. pOH = 3.2
Solution:
(1):
pOH = −log[OH−] = −log(3.0×10−9) = 8.52
pH = 14 − pOH = 14 − 8.52 = 5.48
pH = 5.48
(2):
HCI → H+ + Cl−
HCl is a strong acid because it dissociates almost completely.
Therefore,
[H+] = C(HCl) = 0.024 M
pH = −log[H+] = −log(0.024) = 1.62
pH = 1.62
(3):
NaOH → Na+ + OH−
NaOH is a strong base because it dissociates almost completely.
Therefore,
[OH−] = C(NaOH) = 0.022 M
pOH = −log[OH−] = −log(0.022) = 1.66
pH = 14 − pOH = 14 − 1.66 = 12.34
pH = 12.34
(4):
pH = 14 − pOH = 14 − 3.20 = 10.80
pH = 10.80
Answers:
(1): pH = 5.48
(2): pH = 1.62
(3): pH = 12.34
(4): pH = 10.80
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