Process extraction stage mass balance calculator

Calculate solute remaining in carrier phase and solute extracted into solvent with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use solute remaining in carrier phase and solute extracted into solvent to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Solute-free feed-carrier mass (kg)
100
Fresh solvent mass (kg)
50
Initial solute mass in feed (kg)
10
Partition coefficient solvent/carrier concentration
2
Solute remaining in carrier phase (kg)
5
Solute extracted into solvent (kg)
5
Extracted fraction
0.5

Try another scenario

Solute-free feed-carrier mass (kg)
110.00000000000001
Fresh solvent mass (kg)
50
Initial solute mass in feed (kg)
10
Partition coefficient solvent/carrier concentration
2
Solute remaining in carrier phase (kg)
5.238095
Solute extracted into solvent (kg)
4.761905
Extracted fraction
0.47619
Calculation method

Calculation method

Solute remaining in carrier phase (kg)

Total solute×carrier mass/(carrier mass+K×solvent mass).

Solute extracted into solvent (kg)

Total solute minus carrier-phase solute.

Extracted fraction

K×solvent/(carrier+K×solvent).

Symbols and units
a
Solute-free feed-carrier mass (kg)
b
Fresh solvent mass (kg)
c
Initial solute mass in feed (kg)
d
Partition coefficient solvent/carrier concentration

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Single ideal equilibrium extraction with immiscible phases, constant carrier/solvent masses and linear mass-based partition relation; fresh solvent initially solute-free. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Solute-free feed-carrier mass (kg): minimum 1e-12, maximum 1000000000000.0. Fresh solvent mass (kg): minimum 1e-12, maximum 1000000000000.0. Initial solute mass in feed (kg): minimum 0, maximum 1000000000000.0. Partition coefficient solvent/carrier concentration: minimum 1e-12, maximum 1000000000000.0.
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