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โš—๏ธ Standard Solution Preparation Calculator

Calculate exactly how much solid reagent to weigh, or how much concentrated liquid stock to measure, to prepare a standard solution at your target concentration and volume.

mass = C ร— V ร— M  |  Vstock = (Cโ‚‚ ร— Vโ‚‚) / Cstock
Prepare from:
Mass of Reagent to Weigh
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๐Ÿ’ก Solid reagent mode: weigh out the calculated mass, dissolve in less than the final volume of solvent, then bring to the exact final volume in a volumetric flask (this avoids volume-of-solute errors).
๐Ÿ’ก Concentrated liquid mode: always add concentrated acid to water, never water to acid. Measure the calculated stock volume, add it slowly to a portion of solvent, then bring to final volume.
โš ๏ธ Verify before use: This calculator is a convenience aid. Always confirm reagent purity, density, and molar mass against the certificate of analysis or bottle label, and follow your lab's safety protocol for concentrated reagents.
๐Ÿ“– Example (solid): Prepare 500 mL of 0.1 M NaCl. Molar mass of NaCl = 58.44 g/mol. Mass = 0.1 mol/L ร— 0.5 L ร— 58.44 g/mol = 2.922 g. Dissolve in ~400 mL water, then bring to 500 mL in a volumetric flask.
๐Ÿ“– Example (liquid): Prepare 1000 mL of 1 M HCl from concentrated HCl (37% purity, density 1.19 g/mL, molar mass 36.46 g/mol). Stock molarity = (1.19 ร— 1000 ร— 0.37) / 36.46 โ‰ˆ 12.08 M. Volume needed = (1 ร— 1000) / 12.08 โ‰ˆ 82.8 mL of concentrated HCl, brought to 1000 mL with water.
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From solid or liquid

Two modes: weigh out a solid reagent, or measure a concentrated liquid stock.

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Common units

Molarity, millimolarity, mg/mL, and % w/v for solids; molarity for liquid stocks.

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โœ” Formulas last verified against primary references: March 2025  ยท  Report an error
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Preparing standard solutions in the lab

A standard solution is a solution of precisely known concentration, prepared either by dissolving a weighed mass of solid reagent in solvent up to a fixed volume, or by carefully diluting a concentrated liquid reagent of known purity and density. For solids, the required mass follows mass = concentration ร— volume ร— molar mass (for molar concentrations), or a direct scaling for mg/mL and % w/v. For concentrated liquid reagents such as acids and bases, the stock's own molarity must first be derived from its density and percentage purity (assay), since commercial concentrated reagents are sold by weight percentage rather than molarity. Always prepare solutions in a volumetric flask rather than a graduated cylinder when precision matters, and always add concentrated acid to water rather than the reverse to control the exothermic reaction safely. For thesis reporting: state the reagent, its purity/grade, the mass or volume measured, the solvent, and the final volume. Example: 'A 0.1 M NaCl standard solution was prepared by dissolving 2.922 g NaCl (ACS grade) in deionized water to a final volume of 500 mL.'