THE NUMBERS, EXPLAINED
How to use this calculator.
Recovered mass must be attributable to this batch and comparable in material composition. Records only an observed mass balance, not a recovery-process prescription.
Start with your inputs
Enter mass before polishing (g), mass after polishing (g), recovered matching metal dust (g). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Mass before polishing (g) | 100 |
| Mass after polishing (g) | 95 |
| Recovered matching metal dust (g) | 3 |
A worked example
With the example inputs above, observed mass removed (g) is 5. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Observed mass removed (g) | 5 |
| Unrecovered mass (g) | 2 |
| Piece mass loss (%) | 5 |
| Recovered share of removed mass (%) | 60 |
How this is calculated
Observed mass removed (g)
Subtract final piece mass from initial mass.
Unrecovered mass (g)
Subtract recovered material from removed mass.
Piece mass loss (%)
Divide removed mass by initial mass.
Recovered share of removed mass (%)
Divide recovered mass by removed mass, using zero when none was removed.
Symbols and units
- a
- Mass before polishing (g)
- b
- Mass after polishing (g)
- c
- Recovered matching metal dust (g)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Recovered mass must be attributable to this batch and comparable in material composition. Records only an observed mass balance, not a recovery-process prescription.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Observed mass removed (g); Unrecovered mass (g); Piece mass loss (%); Recovered share of removed mass (%). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Recovered mass must be attributable to this batch and comparable in material composition. Records only an observed mass balance, not a recovery-process prescription.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax Prealgebra 2e — arithmetic and proportions ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →