Titration Calculator
Calculate unknown acid or base molarity from titration data using the equivalence point equation nH+·Ma·Va = nOH-·Mb·Vb.
Titration Calculator
The Titration Calculator determines unknown acid or base concentrations at the equivalence point of an acid-base titration. At equivalence, the moles of H+ donated by the acid equal the moles of OH- accepted by the base.
The core relationship is:
$$n_{\mathrm{H}^+} \cdot M_a \cdot V_a = n_{\mathrm{OH}^-} \cdot M_b \cdot V_b$$
where $M_a$ and $M_b$ are molarities (mol/L), $V_a$ and $V_b$ are volumes (mL), and $n_{\mathrm{H}^+}$ and $n_{\mathrm{OH}^-}$ count the number of acidic or basic protons per formula unit. For example, HCl donates one H+ ($n_{\mathrm{H}^+} = 1$) while H₂SO₄ donates two.
A typical lab problem: 20.70 mL of 0.500 M NaOH neutralizes 0.15 mL of unknown HCl. Rearranging gives $M_a = (1 \times 0.500 \times 20.70) / (1 \times 0.15) = 0.690$ M.
Related tools: Neutralization Calculator, Normality Calculator, and Molarity Calculator.
Frequently Asked Questions
What is the equivalence point in titration?
The equivalence point is reached when the moles of titrant added exactly neutralize the analyte. For a strong acid-strong base titration, this occurs at pH 7.
Why do I need nH+ and nOH- values?
Polyprotic acids and polybasic bases donate or accept more than one proton per molecule. H₂SO₄ has nH+ = 2, and Ca(OH)₂ has nOH- = 2, so these factors must be included in the calculation.
What units should I use for volume?
Use milliliters (mL) for both acid and base volumes. Molarity is in mol/L. The formula works as long as both volumes use the same unit.
Can this calculator find unknown volume?
Yes. Select acid volume or base volume as the unknown, then enter the known molarities and the other volume to solve.