Concentration ratio
B divided by A; independent of entered sample volumes.
Unit Converters
Separate concentration ratio from sample-volume effects, then reconcile the ideal additive-volume mixture through conserved solute mass.
Mixture mass balance
Normalize two mass concentrations, calculate the solute carried by each entered volume, and estimate the combined concentration under explicit solute-conservation and additive-volume assumptions.
| Quantity | Solution A | Solution B | Combined or comparison |
|---|
How to use
Normalize two mass concentrations, calculate the solute carried by each entered volume, and estimate the combined concentration under explicit solute-conservation and additive-volume assumptions.
B divided by A; independent of entered sample volumes.
Concentration multiplied by solution volume.
Combined solute mass equals mass from A plus mass from B.
Combined solution volume is VA + VB.
Fraction of total solute supplied by each solution.
Result interpretation
The ratio compares the two reported solution properties. The two solute masses also depend on entered volumes. The blend card is a mass-balanced planning estimate, not an equilibrium or density model.
Calculation method
Convert both inputs to g/L. Multiply each by its litres to obtain grams of solute. Add solute masses and volumes independently, then divide total grams by total litres. Calculate shares from each solute mass divided by the total.
Evidence controls
Compare the same analyte, salt form, elemental basis, active ingredient basis, or equivalent definition.
Strong electrolytes, alcohol-water systems, concentrated acids, and reactive mixtures can contract or expand.
Solute conservation in the entered form can fail when components react, volatilize, precipitate, or partition.
Volume depends on condition; align temperature and pressure or use an authorized mass-based model.
Nominal reagent concentration may require purity, hydrate, or assay correction before entry.
The arithmetic assumes a homogeneous final solution.
Input concentration and volume uncertainties carry into mass and blend concentration.
Visual explanation
The first two vessels are scaled by contained solute mass, not just concentration. The third vessel shows their conserved total, making the volume-weighted blend logic visible.
Detailed calculation process
mA = cA VA; mB = cB VB; cblend = (mA + mB)/(VA + VB)
| Symbol | Meaning | Required unit |
|---|---|---|
| cA, cB | mass concentrations of solutions A and B | g/L after normalization |
| VA, VB | solution volumes | L |
| mA, mB | solute masses | g |
| cblend | ideal combined concentration | g/L |
| mA + mB | conserved total solute mass | g |
| VA + VB | assumed additive final volume | L |
Reconciliation:Waiting for current inputs.
Defaults and assumptions
Defaults demonstrate 2 L at 20 g/L mixed with 1 L at 50 g/L. They are planning values, not a formulation instruction.
| Check | Current value A | Current value B | Decision role |
|---|
Decision analysis
Use the result for screening or a transparent first-pass blend target. For final formulation, verify actual final volume, density, compatibility, reaction stoichiometry, purity, and analytical confirmation.
A higher concentration does not necessarily contribute more solute; volume controls mass contribution. Compare the mass-share cards before choosing which stream drives the blend. If a final-volume specification is authoritative, enter a formulation model based on that measured final volume rather than assuming VA + VB. For dilution with pure solvent, represent the solvent as zero concentration only when the calculator permits zero; this page currently requires positive source concentrations, so use a dedicated dilution calculator instead.
Verification workflow
Solution A and B must report the same chemical entity and denominator. Sodium as an element, sodium chloride as a compound, chloride ion, acid equivalents, and active ingredient can produce plausible numbers that are not directly blendable. Confirm hydrate form, purity basis, dry or as-received basis, and whether concentrations already include assay correction. When the comparison uses an equivalent basis, document the stoichiometric conversion before entering the two mass concentrations.
The mass balance uses each entered volume independently. Confirm calibration and temperature for vessels, meters, or delivery totals. Nominal package size may not equal delivered liquid volume. If one stream is measured by mass, convert through condition-matched density under a controlled model rather than using an approximate litre value. Record retained heel, line holdup, transfer loss, and flush material when the physical batch differs from the arithmetic quantities entered here.
For dilute aqueous solutions the first estimate may be adequate, but concentrated salts, acids, bases, solvents, and temperature-changing blends can contract or expand. Compare VA + VB with a measured or density-derived final volume from a validated formulation model. If final volume is authoritative, preserve solute mass from this calculator and replace only the denominator with the validated volume. Do not change solute mass merely to make the expected final concentration agree.
The calculation assumes the entered solute survives mixing in one homogeneous phase. Check for precipitation, neutralization, complexation, volatilization, adsorption, degradation, partitioning, and gas evolution. Heat of mixing can change temperature and volume and create safety hazards far beyond the arithmetic. Confirm compatibility, addition order, agitation, hold time, and materials of construction through the formulation or process procedure before treating the blend estimate as an operating instruction.
After mixing, record actual final mass or volume and obtain an appropriate analytical confirmation. Reconcile measured concentration multiplied by actual final volume with the solute mass expected from both sources, allowing for uncertainty and documented losses. A disagreement can indicate sampling, volume nonadditivity, assay error, transfer residue, reaction, or analytical bias. Keep the ideal calculation as the planned state and the analytical result as separate observed evidence rather than retroactively editing inputs.
Evidence and data lineage
Retain solute identity, chemical form, source certificates, concentration basis, solution temperatures, volume methods, purity corrections, mixing sequence, observed final volume, and any reaction or compatibility review.
Limits and exclusions
The model excludes volume contraction, density change, chemical reaction, activity, ionic strength, heat of mixing, phase separation, precipitation, evaporation, and uncertainty propagation.
Reference framework
The SI framework in NIST Special Publication 811 distinguishes mass concentration from mass fraction and amount concentration, preventing an apparent unit match from becoming a quantity error. The blend equation is a conservation statement plus an explicit additive-volume assumption; formulation standards, thermodynamic data, or product procedures must supply density, excess volume, reaction, purity, and compatibility behavior. For controlled manufacturing, use official material specifications and validated batch instructions as the primary sources. Record any independent density or final-volume model next to this ideal balance so reviewers can see which conclusion follows from unit arithmetic and which follows from substance-specific evidence.
Worked decision cases
Two certified stocks of the same solute are combined for a planning estimate before analytical release.
Concentrated acid and water require validated density and thermal controls; the ideal result is only an initial mass balance.
Important note
The solute mass balance can be correct while the predicted final concentration is wrong if final volume is not additive.
The mass ratio also includes the selected volumes.
Only when the two volumes are equal. In general it is volume weighted.
Yes. Both are normalized to g/L before comparison.
Not with this solute-conservation formula unless an authorized stoichiometric model defines the common basis.
No. It explicitly assumes additive volumes.
Use a mass-fraction or formulation calculator when the authoritative basis is mass.
Use a dedicated dilution calculator that accepts a zero-concentration diluent.
Yes, especially when volume, density, reaction, or phase behavior changes.
Yes under the stated identity and no-loss assumption.
They reveal which source carries most of the solute.