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Solution preparation and standardization

Enter the target concentration and volume to find how much salt to weigh or how much concentrated reagent to measure. Then enter the primary-standard titration to get the actual concentration and the correction factor.

Pre-sizing and estimating tool: results do not replace design, calculations or reports signed by a licensed professional, nor verification against the applicable codes and standards.

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Target solution
Concentrated reagent
Standardization with a primary standard
Serial dilution (optional)

Glassware volumes in mL, as in any laboratory. Use zero steps for no serial dilution.

—Amount to measure
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Standardization and correction factor

Actual concentration from the primary standard mass and the volume used.

Serial dilution

Concentration in each flask of the series, on a log scale, starting from the actual concentration.

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Method, assumptions and references

Equations used

Solid: m = C · V · (M + n · 18.015) ÷ (purity/100) (C in mol/L, V in L, n = waters of crystallization)
Concentrated liquid: C_bottle = 10 · ρ · w ÷ M; V_conc = C · V ÷ C_bottle (ρ in g/mL, w in % w/w)
Standardization: C_actual = (m_std · purity ÷ M_std) · r ÷ (V_used − V_blank); f = C_actual ÷ C_nominal (r = moles of titrant per mole of standard)
Serial dilution: Cᵢ = C₀ ÷ Fⁱ; aliquot = V_flask ÷ F

Assumptions and limits

  • Typical densities and strengths of commercial reagents at 20 °C (68 °F) from the CRC Handbook; use the lot certificate values when available. Making up to the mark avoids relying on additive volumes.
  • Equivalents per mole for normality: acids and bases by H⁺ or OH⁻ exchanged; oxidants by electrons (KMnO₄ in acid = 5, K₂Cr₂O₇ = 6).
  • Standardization uses one titration; in practice, run triplicates and use the mean. The 0.95 to 1.05 factor criterion is practical, not a code requirement.

Standards and technical documents

  • Mendham, J. et al. Vogel’s Textbook of Quantitative Chemical Analysis, 6th ed., Prentice Hall, 2000
  • Harris, D. C. Quantitative Chemical Analysis, 9th ed., W. H. Freeman, 2015
  • Haynes, W. M. (ed.) CRC Handbook of Chemistry and Physics: concentrative properties of aqueous solutions
  • NIST SRM 84L: Potassium Hydrogen Phthalate (acidimetric standard)
  • ISO 1042: Laboratory glassware — One-mark volumetric flasks; ISO 648: One-mark pipettes
  • ISO 6353-2 and ISO 6353-3: Reagents for chemical analysis — Specifications

U.S. regulations

  • OSHA 29 CFR 1910.1450: Occupational exposure to hazardous chemicals in laboratories (Chemical Hygiene Plan)
  • OSHA 29 CFR 1910.1200: Hazard Communication (SDS and labels)
  • OSHA 29 CFR 1910.151(c) and ANSI/ISEA Z358.1: emergency eyewash and shower

Frequently asked questions

How do I make 1 L of 0.1 N HCl from 37% acid?

For HCl, normality equals molarity. 37% acid with a density of 1.184 g/mL is about 12.0 mol/L, so measure 0.1 × 1000 ÷ 12.0 = 8.32 mL, add it to about 500 mL of water in a 1 L flask and make up to the mark after it cools. Because bottle strength varies, standardize the solution afterwards.

Why standardize if I weighed and measured correctly?

Because the real strength of reagents varies: HCl loses gas, NaOH picks up water and CO₂ from air and labels give ranges. Titrating a primary standard measures the actual concentration. In the example, 0.1300 g of sodium carbonate used a net 24.35 mL, giving 0.1007 mol/L and a factor of 1.0069.

How does water of crystallization enter the calculation?

The mass to weigh uses the molar mass of the salt including crystal water. For sodium thiosulfate pentahydrate, M = 158.11 + 5 × 18.015 = 248.18 g/mol; 1 L of 0.1 mol/L needs 24.82 g of the pentahydrate versus 15.81 g if anhydrous.

Which primary standard should I use for each solution?

Potassium hydrogen phthalate (KHP) for NaOH and KOH; dried sodium carbonate for HCl and H₂SO₄; sodium oxalate for KMnO₄; potassium iodate or potassium dichromate for thiosulfate; sodium chloride for AgNO₃; calcium carbonate for EDTA. Dry the standard as the method says and keep it in a desiccator.

How much standard should I weigh?

Enough to use most of the burette without going past 90%, because reading error weighs less on larger volumes. For 0.1 M HCl and a 25 mL burette, about 0.106 g of sodium carbonate takes roughly 20 mL; the suggested-mass result does that math for the chosen standard.

What safety rules are essential?

Always add acid to water, slowly and with stirring, never the reverse, especially with sulfuric acid. Work in a fume hood with HCl, HNO₃ and ammonia, wear splash goggles, gloves and a lab coat, and keep an eyewash nearby, as your Chemical Hygiene Plan requires. Label the bottle with name, concentration, factor, date and initials.

What is a serial dilution and when should I use it?

It is diluting several times by the same factor, each time from the previous flask. With a factor of 10 and three steps, the 0.1007 mol/L solution becomes 0.0001007 mol/L taking 10 mL into each 100 mL flask. It is how very dilute calibration standards are made with volumes that are easy to measure.