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Titration Curves

Add a base drop by drop to an acid and follow the pH: almost flat at first, then a sudden jump at the equivalence point. Find the pH after any volume of titrant, and see the whole curve.

Acid-BaseTitrationLab
Inputs
Input examples
A strong acid (such as HCl) and a strong base (such as NaOH), both fully dissociated, at 25 °C. Enter what is in the flask, the concentration of the titrant in the burette, and how much has been added. The pH comes from the exact charge balance, so it is also right very close to the equivalence point.

What Happens During a Titration?

In a titration you add a solution of known concentration from a burette until it has exactly reacted with the substance in the flask. Every drop of base neutralises some acid, but as long as acid is left over, the pH barely moves: the pH scale is logarithmic, so even halving the acid raises the pH by only 0.3.

At the equivalence point the last acid is gone. For a strong acid and a strong base the solution is then neutral, pH 7, and a single extra drop makes it strongly basic: the curve jumps steeply. An indicator that changes colour inside that steep part marks the end point.

equivalencemoles base = moles acid
strong + strongpH = 7 at equivalence
steep partwhere the indicator must change
dilutionboth solutions mix

Titration Curve

pH
pH during the titration
equivalence point
your point
Result
Enter the values above

pH Along the Curve

your inputs
Volume addedShare of equivalencepH

Worked Techniques

Before Equivalence

The acid that is left over, divided by the total volume of the mixture.

Example: 25 mL 0.1 M HCl + 12.5 mL 0.1 M NaOH: pH 1.48.
Equivalence Volume

The volume of titrant that contains exactly as many moles as the analyte.

Example: 25 mL of 0.1 M acid with 0.1 M base: 25 mL.
After Equivalence

Now the excess base sets the pH.

Example: 1 mL past equivalence: pH 11.29.

Sources & Verification

References
  1. S. S. Zumdahl & S. A. Zumdahl, Chemistry, 10th ed., Cengage, 2018 — Ch. 14 (Acids and Bases) and Ch. 15 (Acid–Base Equilibria).