AP Chemistry · Exam guide

AP Chemistry Acid-Base and Buffer Question Explained: pH, Ka and the Henderson-Hasselbalch Equation

Acid-base questions are among the most common on the AP Chemistry free-response section, and they combine a calculation with an explanation at the particle level. The numbers below are made up for practice, using the Ka of acetic acid, 1.8 times 10 to the minus 5.

The weak acid pH calculation

Find the pH of a 0.100 M solution of acetic acid.

  • Ka = [H+][A-] / [HA] = x^2 / (0.100 - x).
  • Because Ka is small, assume x is much smaller than 0.100, so x^2 / 0.100 = 1.8 times 10 to the minus 5.
  • x = 0.00134 M, which is [H+].
  • pH = -log(0.00134) = 2.87.
  • Check the assumption: 0.00134 / 0.100 is 1.3 percent, which is under 5 percent, so the approximation is acceptable.

The buffer calculation

A buffer is made from 0.100 M acetic acid and 0.200 M acetate. Find its pH. The pKa is 4.74.

  • Henderson-Hasselbalch: pH = pKa + log([A-] / [HA]).
  • pH = 4.74 + log(0.200 / 0.100) = 4.74 + 0.30 = 5.05.

Now 0.010 mol of HCl is added to 1.00 L of the buffer. The H+ reacts with acetate, so acetate falls to 0.190 M and acetic acid rises to 0.110 M. The new pH is 4.74 + log(0.190 / 0.110) = 4.98. The pH moved by only 0.07 units.

Explaining how a buffer works

Does not earn the pointA buffer keeps the pH from changing.

It states what a buffer does, but not how.

Earns the pointThe buffer contains both a weak acid, which can react with added OH-, and its conjugate base, which can react with added H+. When acid is added, acetate ions react with the H+ and form acetic acid, so [H+] barely changes and the pH stays nearly constant.

It names both buffer components, says which reacts with which, and ties that to the pH.

Common mistakes

  • Using the buffer equation for a solution with only a weak acid.
  • Using concentrations in the ratio when volumes were mixed, without recalculating them after dilution.
  • Skipping the check of the 5 percent approximation.
  • Putting the base over the acid backward in the Henderson-Hasselbalch ratio.
  • Giving a pH to too many digits. Two decimal places is about right.

Frequently asked questions

How do I know if something is a buffer?

It has a weak acid and its conjugate base (or a weak base and its conjugate acid) in similar amounts.

When can I use the 5 percent rule?

When x is less than 5 percent of the starting concentration. Compute x, then check.

What is the pKa?

The negative base-10 logarithm of Ka. When the acid and its conjugate base are equal, the pH equals the pKa.

Why does a buffer have a limit?

Added acid or base uses up one of the two components. When one runs out, the pH changes quickly.

Where can I find the official scoring rules?

Exam formats change a little from year to year, so check the current course and exam description on the College Board site before test day.

Keep practicing

Every lesson in the AP Chemistry course ends with practice items and an Exam focus box, and every unit has a ten-question practice set with worked answers. These free lessons also build the skills the free-response section tests:

See the AP Chemistry course Free lessons and lesson list

Other free-response guides:

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