
(a) 0.100 M HCl [H+] = 0.100 M pH = 1.00
(b) HCl:
mol = n = MxL = (0.100)(0.0400) = 0.00400 mol
NaOH:
n = MxL = (0.100)(0.0200) = 0.00200 mol
HCl
in excess by 0.00200 mol, volume = 60.00 mL = 0.06000 L
[H+]
= 0.00200mol/0.06000L = 0.0333 M pH = 1.48
(c) HCl:
n = MxL = (0.100)(0.0400) = 0.00400 mol
NaOH:
n = MxL = (0.100)(0.0300) = 0.00300 mol
HCl
in excess by 0.00100 mol, volume = 70.00 mL = 0.07000 L
[H+]
= 0.00100mol/0.07000L = 0.0143 M pH = 1.84
(d) HCl:
n = MxL = (0.100)(0.0400) = 0.00400 mol
NaOH:
n = MxL = (0.100)(0.0400) = 0.00400 mol
Solution
neutral pH = 7.00
(e) HCl:
n = MxL = (0.100)(0.0400) = 0.00400 mol
NaOH:
n = MxL = (0.100)(0.0500) = 0.00500 mol
NaOH
in excess by 0.00100 mol, volume = 90.00 mL = 0.09000 L
[OH-1]
= 0.00100mol/0.09000L = 0.0111 M pOH = 1.95 pH= 12.05

Sample Problem 2:
What is pH if 50.0 mL of 0.200
M HCl mixed with 30.0 mL of 0.150 M NaOH?
HCl:
n = MxL = (0.200)(0.0500) = 0.0100 mol
NaOH: n = MxL = (0.150)(0.0300)
= 0.00450 mol
HCl in excess by 0.00550 mol,
volume = 80.0 mL = 0.0800 L
[H+] = 0.00550 mol/0.0800L
= 0.0688 M pH = 1.16
Sample Problem 3:
What is pH if 35.0 mL of 0.125
M HCl mixed with 45.0 mL of 0.150 M NaOH?
HCl:
n = MxL = (0.125)(0.0350) = 0.00438 mol
NaOH: n = MxL = (0.150)(0.0450)
= 0.00675 mol
NaOH in excess by 0.00237 mol,
volume = 80.0 mL = 0.0800 L
[OH-1] = 0.00237
mol/0.08000L = 0.0296 M pOH = 1.53
pH = 12.47