Description
Use an explicitly measured final volume rather than assuming additive component volumes.
A ratio compares quantities under a stated numerator and denominator. Fractions, percentage numerals, and percentage-point changes use different conventions, and changing a part can also change its whole. Unit consistency, zero denominators, rounding, and the order of adjustments determine the result.
Use an explicitly measured final volume rather than assuming additive component volumes.
When to use this tool
Use Concentration Addition Exact Volume Basis when you need this specific ratio, allocation, transformation, interval, or adjustment-order calculation with an explicit base.
How to use the tool and how it works
- Enter firstAmount, firstConcentration, secondAmount, secondConcentration, finalVolume. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read concentration. Use the output convention below.
Return concentration=(firstAmount*firstConcentration+secondAmount*secondConcentration)/finalVolume. Require nonnegative amounts and concentrations and positive final volume.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstAmount | First Amount | Required. Finite number; minimum 0. |
| firstConcentration | First Concentration | Required. Finite number; minimum 0. |
| secondAmount | Second Amount | Required. Finite number; minimum 0. |
| secondConcentration | Second Concentration | Required. Finite number; minimum 0. |
| finalVolume | Explicit positive final volume; not automatically the input-volume sum. | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| concentration | Concentration | Required. Finite number. |
{
"input": {
"firstAmount": 20,
"firstConcentration": 2,
"secondAmount": 30,
"secondConcentration": 4,
"finalVolume": 40
},
"output": {
"concentration": 4
}
}Limitations and assumptions
- Each amount must match the denominator basis of its concentration so both products share a solute-quantity unit. FinalVolume is explicit and need not equal the input-volume sum; no volume additivity or mixing safety is assumed.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Check numerator, denominator, units, and adjustment order before comparing results. Use a complete allocation or physical mixture model when a single arithmetic term leaves relevant constraints unspecified.
References
Similar or alternative tools
- Dilution Carrier Volume Additivity Gap
Return additiveTotal=soluteVolume+carrierVolume and contraction=additiveTotal-measuredTotal, requiring nonnegative volumes.
- Weighted Parts Common Basis Crosswalk
Normalize a nonempty nonnegative parts list by its positive sum and multiply each fraction by nonnegative basis for amounts.