Analytical Chemistry

Titrations

Use this for “0.4218 g of KHP needs 21.37 mL of NaOH to reach the phenolphthalein end point. What is the NaOH concentration?”

Diagram

0246810121401020304050NaOH added (mL)pHequivalence: pH 8.966half-way: pH 5.409 = pKₐpH 8.966
The KHP is used up at 24.95 mL of NaOH, where the pH is 8.966: above 7, since the acid’s partner base is left.
After 24.95 mL of NaOH, the pH is 8.966.
This is an example. Type your own values to start a new problem.
C (M)
=
m (g)
÷
(
M (g/mol)
×
V (mL)
)
n
Moles of KHP
calculated · mmol

Formulas

n
=
m
M
×
1,000
2.5
=
0.5105
204.22
×
1,000
C
=
n
V
0.1002
=
2.5
24.95

Assumptions

•
KHP (potassium hydrogen phthalate, 204.22 g/mol) is a primary standard: pure, dried and weighed exactly.
•
KHP has one acidic hydrogen, so it reacts one to one with NaOH; the end point is the equivalence point.
•
The water the KHP is dissolved in (about 50 mL) changes no amount: only the moles count.

Step-by-step

WE KNOW
m = 0.5105 g, M = 204.22 g/mol, V = 24.95 mL
FIND
moles of KHP (n), concentration of NaOH (C)
Step 1 · Find moles of KHP (n)
Use n = m ÷ M × 1,000
Grams over grams per mole gives moles; × 1000 gives millimoles.
n
=
0.5105
204.22
×
1,000
n
=
0.0025
×
1,000
n
=
2.5
mmol
Step 2 · Find concentration of NaOH (C)
Use C = n ÷ V
At the end point the NaOH added matches the KHP mole for mole; millimoles per milliliter is molarity.
C
=
2.5
24.95
C
=
0.1002
M
Check
Put the numbers back in. Both sides should match.
2.5
=
0.5105
204.22
×
1,000
✓
0.1002
=
2.5
24.95
✓
Topic check
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