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Buffer Solution Calculator

Calculate buffer pH using the Henderson-Hasselbalch equation. Enter pKa, acid concentration, and conjugate base concentration.

About this calculator

A buffer solution resists pH change when small amounts of acid or base are added, because it contains both a weak acid [HA] and its conjugate base [A⁻] in solution together -- the acid neutralizes added base, and the conjugate base neutralizes added acid. The Henderson-Hasselbalch equation, pH = pKa + log₁₀([A⁻]/[HA]), relates the buffer's pH directly to the ratio of those two concentrations rather than to their absolute values: a buffer made from 0.1 M acetic acid and 0.1 M sodium acetate has the same pH as one made from 1 M of each, because the ratio [A⁻]/[HA] is 1 in both cases. This is also why pKa, not concentration, sets the buffer's usable pH range -- the range this calculator reports (pKa ± 1) reflects where the buffer still has meaningful capacity to absorb added acid or base without its pH swinging wildly, since outside that window one of the two species is present in too small a fraction to do its job.

Buffer capacity (β) is a separate, more subtle quantity: it measures how much strong acid or base the solution can absorb per unit pH change, and it peaks exactly at pH = pKa (where [A⁻] and [HA] are equal) and falls off as the ratio moves away from 1 in either direction, independent of which direction. Real lab buffers are chosen so the target pH sits close to the weak acid's pKa for exactly this reason -- acetic acid (pKa 4.76) buffers well near pH 4-6, while a phosphate or Tris buffer would be chosen for a near-neutral or basic target instead.

Inputs

M
M

Results

Buffer pH

4.76

[A⁻]/[HA] Ratio1
Buffer Capacity (β)0.11515
Effective Range (Low)3.76
Effective Range (High)5.76
Ka1.7378e-5
How to Use This Calculator
  1. Enter the pKa of the weak acid in your buffer system.
  2. Set acid concentration [HA] and conjugate base concentration [A⁻] in mol/L.
  3. Review Buffer pH (from Henderson-Hasselbalch), [A⁻]/[HA] Ratio, Buffer Capacity (β), and Effective pH Range.
  4. For maximum buffer capacity, choose a weak acid with pKa within 1 pH unit of your target pH.

How the result changes with pKa of Weak Acid

pKa of Weak AcidBuffer pH
2.382.38
3.573.57
7.147.14
1212

What each input means

pKa of Weak Acid
Negative log of the acid dissociation constant (e.g., acetic acid pKa = 4.76)
Acid Concentration [HA]
Molar concentration of the weak acid (undissociated form)
Conjugate Base Concentration [A⁻]
Molar concentration of the conjugate base (e.g., sodium acetate)

How this is calculated

Formula

pH = pKa + log₁₀([A⁻]/[HA])

Worked example, using the default values

  1. Identify Input Parameters
    3 parameters
    pKa of Weak Acid = 4.76, Acid Concentration [HA] = 0.1, Conjugate Base Concentration [A⁻] = 0.1 = 3 input(s) provided
  2. Calculate Buffer pH
    Buffer pH
    4.76 = 4.76
  3. Calculate [A⁻]/[HA] Ratio
    [A⁻]/[HA] Ratio = r
    1 = 1
  4. Calculate Buffer Capacity
    Buffer Capacity
    0.11515 = 0.11515

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does diluting a buffer 10x with water barely change its pH?

Because pH depends on the RATIO [A⁻]/[HA], not the absolute concentrations -- diluting both species by the same factor leaves that ratio unchanged, so the Henderson-Hasselbalch pH stays essentially the same. What dilution DOES reduce is buffer capacity (β): a more dilute buffer has fewer acid and base molecules available to absorb an added strong acid or base, so its pH will swing more for the same addition even though its resting pH barely moved.

Why is buffer capacity highest when pH equals pKa?

At pH = pKa, the ratio [A⁻]/[HA] equals exactly 1, meaning the weak acid and its conjugate base are present in equal amounts. That's the point where both halves of the buffer pair are simultaneously most available -- to neutralize added base you need HA, and to neutralize added acid you need A⁻, so having equal reserves of both maximizes the total amount of either kind of addition the buffer can absorb before its pH shifts significantly.

How do I pick a weak acid for a target buffer pH?

Choose one whose pKa sits within about 1 pH unit of your target, ideally as close as possible -- that keeps the [A⁻]/[HA] ratio near 1, where buffer capacity is highest. Outside pKa ± 1, one of the two species becomes the minority component, so the buffer still technically works (the Henderson-Hasselbalch equation still applies) but resists pH change much less effectively.

Does the buffer's effective pH range depend on how concentrated it is?

No -- the effective range (pKa ± 1) is set entirely by the acid's pKa, which is a fixed chemical property of that acid, not by how much of it you dissolve. Concentration instead determines buffer capacity: a more concentrated buffer resists a larger absolute addition of acid or base before its pH exits that same pKa ± 1 window, but the window's boundaries themselves don't move.

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