Robert S. answered 06/03/21
PhD in Chemistry with industrial R&D and teaching experience
Hello, Shin,
pOH and pH are the negative logs of the OH and H concentrations. So a pOH of 3.8 would mean that the concentration of OH is
[OH-] = 1x10-3.8 M
At STP, pure water is in equilibrium with it's component ions:
H2O = H+ + OH-
The equilibrium coefficient for this is 1x10-14. So we can write
1x10-14 =[H+]*[OH-]
Now we can find [H+]
1x10-14 =[H+]*[1x10-3.8]
[H+] = [1x10-3.8]/[1x10-14]
[H+] = [1x10+10.2]
The negative log of this number is 10.2
pH = 10.2
The above calculation is the fundamental relationship between pH and pOH of water. Once this is understood, it makes sense to use a much quicker approach. pH and pOH must always sum to 14 for water. If pOH is 3.8, then pH is 14 - 3.8, or 10.2.
2. pOH = 12.36. Use the definition of pOH: The negative log of the hydroxide ion concentration. That means [OH-] = 10-12.36. That is the same as 4.37x10-13
3. pH = 14. Repeat the above steps. [H+] = 10-14
[10-14]*[OH-] = 10-14
[OH-] = 1
Bob