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Stock Solution Calculator

A stock solution is a concentrated solution you prepare once and dilute later. Tell this calculator the concentration you want — as a molarity or as a percent weight/volume — the final volume, the solute’s molecular weight, and its purity, and it returns the exact mass of solid to weigh out, already corrected for purity, plus the moles involved and the steps to make it up.

Making a stock is where the molarity calculator and a real bench workflow meet. You rarely want 1 L of working solution from scratch; you want a small, concentrated stock — 1 M Tris, 10% SDS, 5 M NaCl — that you aliquot, store, and dilute on demand. This tool focuses on that job and adds the two things a bare molarity calculation leaves out: support for **percent weight/volume** stocks and an explicit **purity correction** from the reagent label. It sits in our laboratory calculator set and feeds straight into the dilution calculator and the C1V1 calculator for the working solutions you make from the stock.

If you need the molecular weight of the solute first, derive it from the formula with the molar mass calculator rather than guessing whether the bottle holds the hydrated or anhydrous form — that single choice changes the mass you weigh by tens of grams per mole. For the concept behind the concentration itself, what is molarity explains moles per litre and why final volume, not added water, is what counts.

Stock Solution Calculator

From the reagent label. The mass is increased automatically when purity is below 100%.

Mass to weigh29.22 g
Amount of solute0.5 mol
Final volume500 mL
Mass (mg)29220 mg
Purity correction0 g

How to use the stock solution calculator

Choose the **stock type**. "Molar" prepares a stock defined in mol/L and needs the molecular weight; "Percent (% w/v)" prepares a stock defined as grams of solute per 100 mL of final solution and needs no molecular weight.

Enter the target concentration (molarity, or % w/v) and the **final volume** of stock you want, picking the volume unit. The calculator converts to litres internally, so you can think in mL at the bench.

Enter the solute **purity** from the label. If your solid is 95% pure, the mass is scaled up automatically so the active content is correct — leaving it at 100 assumes a fully pure reagent.

Press **Calculate**. The primary card gives the mass to weigh in grams (and milligrams); the secondary cards show the moles for a molar stock, the purity correction applied, and the final volume. Then dissolve in roughly 80% of the target volume and bring it up to the mark.

Stock Solution formula

molar: m = (M × V × MW) / purity
% w/v: m = (% × V_mL / 100) / purity
purity (fraction) = purity% / 100
m = mass of solute (g) · M = target molarity (mol/L) · V = final volume (L) · MW = molecular weight (g/mol) · % = grams per 100 mL · purity = fractional purity of the solid

Variables and units

SymbolMeaningUnit
mMass of solute to weighg
MTarget molaritymol/L
VFinal volume of stockL
MWMolecular weight of soluteg/mol
%Percent weight/volumeg/100 mL
purityFractional purity of the solid

How stock solution is calculated

  1. For a molar stock, multiply target molarity by final volume in litres to get moles, then by molecular weight to get grams of pure solute.
  2. For a percent stock, multiply % w/v by the final volume in mL and divide by 100 to get grams of pure solute.
  3. Divide the pure-solute mass by the purity fraction to get the mass of the actual solid to weigh.
  4. Dissolve in about 80% of the final volume, then bring the solution up to the exact final volume and mix.

Worked laboratory examples

Example 1 — 500 mL of 1 M NaCl

Given: M = 1 mol/L · V = 500 mL = 0.5 L · MW = 58.44 g/mol · purity 100%

  1. moles = 1 × 0.5 = 0.5 mol
  2. mass = 0.5 × 58.44 = 29.22 g

Result: weigh 29.22 g NaCl, dissolve and make up to 500 mL

Example 2 — 1 L of 1 M from a 95% pure solid

Given: M = 1 mol/L · V = 1 L · MW = 100 g/mol · purity 95%

  1. pure mass = 1 × 1 × 100 = 100 g
  2. as-weighed mass = 100 / 0.95 = 105.26 g

Result: weigh 105.26 g of the 95% solid — 5.26 g more than the pure figure

Example 3 — 200 mL of 10% w/v glucose

Given: % w/v = 10 · V = 200 mL

  1. mass = 10 × 200 / 100 = 20 g

Result: weigh 20 g glucose, dissolve and make up to 200 mL

Want the reasoning behind the numbers? ReadWhat Is Molarity?.

How to interpret the result

The mass on the primary card is what goes on the balance. For a molar stock the mole count tells you the chemical scale of what you are making — 0.5 mol in 500 mL is the same 1 M whether you make 500 mL or 5 L, only the mass changes. For a percent stock there are no meaningful moles without a molecular weight, so that card is intentionally blank.

The purity correction is the part most often skipped and most often wrong. A reagent labelled 95% means 5% of what you weigh is not your solute, so you need about 5% more solid to hit the target. The calculator reports the extra mass explicitly so you can see how much the correction is actually contributing — sometimes negligible, sometimes the difference between a working and a failed buffer.

Assumptions

  • The solute dissolves completely and does not change the final volume beyond what you measure to the mark.
  • Purity refers to the mass fraction of the target species, and the impurity is inert (does not contribute the solute or affect volume).
  • The molecular weight matches the form on the bottle, including any waters of hydration.

Limitations

  • Solubility limits are not checked — a mathematically valid stock may be impossible to dissolve at that concentration or temperature.
  • Percent is interpreted as weight/volume (g per 100 mL); weight/weight percent, which needs density, is not modelled.
  • Stability, sterilisation and storage are outside the calculation; some stocks must be made fresh or filtered rather than autoclaved.

Common mistakes

  • Adding the solute to the full final volume of water instead of dissolving in less and making up to the mark — the solute itself displaces volume, so the concentration ends up too low.
  • Ignoring purity and weighing the pure-solute mass from a 90% or 95% bottle.
  • Using the anhydrous molecular weight for a hydrated salt. Check whether the label says, for example, ·H2O or ·5H2O.
  • Confusing % w/v with % v/v or % w/w. A 10% w/v solution is 10 g of solid per 100 mL of final solution.

FAQ

How do I make a stock solution?

Decide the concentration and final volume, calculate the mass of solute, weigh it, dissolve it in roughly 80% of the final volume, then add solvent up to the exact final volume and mix. This calculator gives you the mass, corrected for purity.

What is the difference between a molar and a percent stock?

A molar stock is defined in moles of solute per litre (mol/L) and needs a molecular weight. A percent weight/volume stock is defined as grams of solute per 100 mL of final solution and needs no molecular weight — 10% w/v means 10 g per 100 mL.

How does purity affect the mass I weigh?

Divide the pure-solute mass by the purity fraction. For a 95% pure solid you weigh 100/0.95 = 105.26 g to get the same amount of active solute as 100 g of a pure one. The calculator applies this automatically and reports the extra mass.

Why dissolve in less solvent first?

Because the dissolved solute occupies volume. If you add solute to the full final volume you will overshoot the true volume and undershoot the concentration. Dissolve in about 80% of the target, then bring it up to the mark in a volumetric flask.

How concentrated should a stock be?

Concentrated enough that the working dilution adds a small, accurate volume, but below the solubility limit and stable in storage. Common stocks are 1 M to 5 M for salts and buffers, or 10× to 100× the working strength so a 1:10 or 1:100 dilution gives the final concentration.

How do I make a working solution from the stock?

Use the dilution calculator for a factor-based 1:X dilution or the C1V1 calculator to find the exact stock volume for a target concentration and volume. Both take the stock concentration you just prepared as their starting point.

Scientific Sources

External links open in a new tab and carry rel="nofollow". We cite primary references (NIST, NIH/NCBI, peer-reviewed papers) and established manufacturer technical documentation (NEB, Thermo Fisher, Promega, IDT). Calculated results are estimates; your protocol and manufacturer guidance take precedence.

Last reviewed: 2026-09 · Method version: 1.0