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pH Calculator

Strong & weak acids/bases, buffer solutions and Henderson–Hasselbalch — step-by-step pH calculations.

Select input type

E.g. 7.4

pH in Everyday Life

0

Battery acid

2

Stomach acid

2.5

Lemon juice

3.5

Soft drink

4.5

Tomato

5

Coffee

6

Milk

7

Pure water

7.4

Blood

8

Seawater

9

Baking soda

11

Ammonia

12.5

Lime

14

NaOH

Key Formulas
Strong acidpH = −log[H⁺] = −log(C)
Strong basepH = 14 − pOH = 14 − (−log[OH⁻])
Weak acid[H⁺] = (−Ka + √(Ka²+4·Ka·C)) / 2
Weak base[OH⁻] = (−Kb + √(Kb²+4·Kb·C)) / 2
Buffer (H–H)pH = pKa + log([A⁻]/[HA])
ConversionpH + pOH = 14 | [H⁺]·[OH⁻] = 10⁻¹⁴
Frequently Asked Questions

pH is the negative logarithm of hydrogen ion activity: pH = -log₁₀(aH⁺). IUPAC defines it using activity. For education and dilute solutions, activity ≈ concentration is commonly used.

Strong acids dissociate completely, so [H⁺] = C × ν and pH = -log[H⁺]. Weak acids partially ionize; an ICE table with Ka gives a quadratic equilibrium equation.

For buffer solutions — weak acid + conjugate base or weak base + conjugate acid: pH = pKa + log([A⁻]/[HA]). It works well when the ratio is 0.1–10 and concentration > 10⁻³ M.

Water's ionization constant Kw depends on temperature; at 25°C Kw = 10⁻¹⁴ (pKw = 14). At 37°C Kw ≈ 2.4×10⁻¹⁴. This calculator fixes 25°C.

When C < 10⁻⁶ M, autoionization of water cannot be ignored. A quadratic correction prevents wrong results such as pH = 8 for 10⁻⁸ M HCl: [H⁺] = ½(C + √(C² + 4Kw)).

An acid-base buffer is most effective within ±1 pH unit of pKa. In this range the system best resists added strong acid or base.

At 25°C for a conjugate pair, Ka × Kb = Kw = 10⁻¹⁴, so pKa + pKb = 14. This links acid Ka to base Kb (or vice versa).

Acids like H₃PO₄ have a separate Ka for each step. This tool uses a monoprotic approach first; when Ka₁ >> Ka₂, each step can be treated separately.

All calculations assume 25°C and pKw = 14. Activity coefficients are not included (dilute-solution approximation). Ka/Kb values are from CRC Handbook and NIST references. For educational use.
🧪 Acid-Base Simulations

Reinforce pH calculations with visual experiments — interactive chemistry simulations

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