Normality calculator

Choose a substance (or enter your own molar mass and number of equivalents) and either its molarity or the mass dissolved in a known volume. The calculator gives the normality, the concentration in mEq/L and the equivalent weight you need for titration work.

Start from
mol/L
Normality1 N
Milliequivalents per litre
1,000 mEq/L
Equivalent weight
49.036 g/eq

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How to use it

  1. Choose to start from the molarity or from the mass and volume.
  2. Pick the substance. For anything not listed, choose “Other substance” and enter its molar mass and how many H⁺, OH⁻ or electrons one formula unit exchanges.
  3. Enter the molarity, or the grams dissolved and the final volume of the solution.

Formulas

  • Equivalent weight: Eq = M ÷ n (g/eq).
  • From molarity: N = Molarity × n.
  • From mass: equivalents = mass ÷ Eq; N = equivalents ÷ volume in litres.
  • mEq/L = N × 1000.

Molar masses of the presets are worked out from the standard atomic weights (for H₂SO₄: 2 × 1.008 + 32.06 + 4 × 15.999 = 98.072 g/mol).

Worked example

0.5 M sulfuric acid: N = 0.5 × 2 = 1 N, which is 1,000 mEq/L, and the equivalent weight is 49.036 g/eq.

4.9 g of H₂SO₄ made up to 500 mL: 4.9 ÷ 49.036 = 0.099927 eq; divided by 0.5 L that is 0.199853 N (a 0.099927 M solution).

4 g of NaOH (39.997 g/mol) in 1 L: 4 ÷ 39.997 = 0.100008 N.

Tips

  • Volume of solution, not of water. Dissolve and then make up to the mark.
  • Same acid, different n. Phosphoric acid titrated only to its first end point acts as 1 equivalent, not 3; enter the n that matches your reaction.
  • Titration shortcut. At the end point N₁V₁ = N₂V₂, which is why normality is handy for titrations.

Frequently asked questions

What is normality?

Normality is the number of equivalents of solute per litre of solution, N = eq/L. An equivalent is the amount that gives or takes one mole of H⁺, OH⁻ or electrons, so normality counts the reacting units rather than the molecules.

How do I convert molarity to normality?

Multiply by the number of equivalents per formula unit, N = M × n. Sulfuric acid gives two H⁺, so 0.5 M H₂SO₄ is 1 N. For HCl and NaOH, n = 1 and normality equals molarity.

What is equivalent weight?

The molar mass divided by the number of equivalents, the mass that supplies one equivalent. For H₂SO₄ it is 98.072 ÷ 2 = 49.036 g/eq.

Why is KMnO₄ listed with 5 equivalents?

In acidic solution permanganate is reduced from Mn(+7) to Mn²⁺ and takes 5 electrons, so one mole is 5 equivalents. In neutral solution it goes to MnO₂ and takes only 3; for that case choose "Other substance" and enter n = 3.

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