Description
Return combined volume and the volume-weighted mean concentration.
Solution calculations use a common volume, mass, or concentration basis. Dilution factors, weighted mixtures, and unit conversions describe different operations; their directions and assumptions must be explicit.
Return combined volume and the volume-weighted mean concentration.
When to use this tool
Use Reservoir Topup Concentration Balance Term when you need one supplied solution or concentration-balance component.
How to use the tool and how it works
- Enter initialVolume, initialConcentration, addedVolume, addedConcentration. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read finalVolume, mixedConcentration. Use the output convention below.
Require nonnegative volumes and concentrations with positive combined volume. Return combined volume and the volume-weighted mean concentration.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| initialVolume | Initial Volume | Required. Finite number; minimum 0. |
| initialConcentration | Initial Concentration | Required. Finite number; minimum 0. |
| addedVolume | Added Volume | Required. Finite number; minimum 0. |
| addedConcentration | Added Concentration | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| finalVolume | Final Volume | Required. Finite number. |
| mixedConcentration | Mixed Concentration | Required. Finite number. |
{
"input": {
"initialVolume": 80,
"initialConcentration": 10,
"addedVolume": 20,
"addedConcentration": 0
},
"output": {
"finalVolume": 100,
"mixedConcentration": 8
}
}Limitations and assumptions
- Volumes share units and concentrations share a compatible volume basis; additive volume and conserved solute are assumed without reaction, precipitation, or uptake modeling.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- 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. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Check the quantity bases, mixing assumptions, measurement method, and complete chemical or nutrient model separately.
References
Similar or alternative tools
- Solution Sample Dilution Factor
Add nonnegative diluentVolume to positive sampleVolume and divide finalVolume by sampleVolume for factor.
- Nutrient Stock Label Element One Contribution
Multiply stockMass by labelFraction in [0, 1] and nonnegative elementConversion for elementMass, then multiply by deliveredFraction in [0, 1].