Calculator Inputs
Use measured concentrations, batch volume, contact time, and optional flow data. The calculator accepts direct mass concentrations or molar units.
Example Data Table
| Scenario | Initial Concentration | Final Concentration | Volume | Time | Flow Rate | Removal Efficiency | Mass Removed |
|---|---|---|---|---|---|---|---|
| Activated carbon polishing | 120 mg/L | 24 mg/L | 10 L | 2 h | 4 L/h | 80% | 960 mg |
| Ion exchange cleanup | 85 mg/L | 17 mg/L | 15 L | 3 h | 6 L/h | 80% | 1020 mg |
| Oxidation treatment | 40 mg/L | 6 mg/L | 25 L | 1.5 h | 12 L/h | 85% | 850 mg |
Formula Used
Removal Efficiency (%) = ((C₀ - Cᶠ) / C₀) × 100
This shows the percentage of the original concentration removed during treatment.
Concentration Clearance Rate = (C₀ - Cᶠ) / t
This reports how quickly concentration drops per unit time.
Mass Removed = (C₀ - Cᶠ) × V
After unit normalization, this gives the removed chemical mass in milligrams.
Mass Clearance Rate = Mass Removed / t
Useful for comparing batch runs, adsorption beds, and treatment steps.
Apparent Clearance Volume Rate = Q × ((C₀ - Cᶠ) / C₀)
This adapts the observed removal fraction to the measured process flow rate.
k = ln(C₀ / Cᶠ) / t
When the final concentration is lower than the initial one, the calculator estimates a first-order decay constant and half-life.
mg/L = mmol/L × Molecular Weight
mg/L = mol/L × Molecular Weight × 1000
These conversions let you enter concentration in molar terms while keeping all clearance outputs on a mass basis.
How to Use This Calculator
- Enter the initial and final concentrations from laboratory measurements.
- Select the correct units for both concentration values.
- Add molecular weight only when you use mol/L or mmol/L.
- Enter the treated volume and the full treatment time.
- Add flow rate and system volume when you want residence metrics.
- Add sorbent or catalyst mass to calculate specific removal in mg/g.
- Press the calculate button to show results above the form.
- Use the CSV or PDF buttons to export the current scenario.
FAQs
1) What does clearance rate mean here?
Here it means how quickly a chemical concentration or removed mass changes during treatment. It supports batch tests, adsorption studies, oxidation runs, and simple continuous-flow interpretation.
2) Why does the calculator convert everything to mg/L?
A common mass basis keeps the outputs comparable. It also makes mass removed, clearance rate, and exported reports easier to interpret across experiments.
3) When should I enter molecular weight?
Enter molecular weight whenever either concentration is given in mol/L or mmol/L. The calculator uses it to convert molar concentration into a mass concentration basis.
4) What if the final concentration is higher than the initial concentration?
The calculator will show a negative removal result. That usually indicates contamination, release from the medium, analytical error, or a process upset.
5) Is the first-order decay constant always valid?
No. It is only an approximation based on the start and end concentrations. Complex chemistry may follow mixed, zero-order, second-order, or adsorption-limited behavior instead.
6) Why are flow rate and system volume optional?
Many lab tests are batch experiments with no continuous flow. Optional flow fields let you calculate residence time and apparent volumetric clearance when those data exist.
7) What is specific removal in mg/g used for?
Specific removal helps compare sorbents, catalysts, and media loading. It shows how much chemical mass was removed per gram of treatment material.
8) Are these results suitable for regulatory decisions?
Use them for screening, reporting, and comparison. Regulatory or scale-up decisions should also consider replicate data, uncertainty, matrix effects, and validated laboratory protocols.