Process crystallization theoretical recovery calculator

Calculate ideal crystals recovered and initial solute recovery fraction with your own figures.

Your numbers

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

Use ideal crystals recovered and initial solute recovery fraction to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Initial saturated solution mass (kg)
100
Hot solubility (kg solute per100kg solvent)
50
Cold solubility (kg solute per100kg solvent)
20
Ideal crystals recovered (kg)
20
Initial solute recovery fraction
0.6
Remaining mother liquor (kg)
80

Try another scenario

Initial saturated solution mass (kg)
110.00000000000001
Hot solubility (kg solute per100kg solvent)
50
Cold solubility (kg solute per100kg solvent)
20
Ideal crystals recovered (kg)
22
Initial solute recovery fraction
0.6
Remaining mother liquor (kg)
88
Calculation method

Calculation method

Ideal crystals recovered (kg)

Solvent mass×(hot−cold solubility)/100; no solvent loss or hydrate formation.

Initial solute recovery fraction

(hot−cold)/hot.

Remaining mother liquor (kg)

Initial solution−crystals.

Symbols and units
a
Initial saturated solution mass (kg)
b
Hot solubility (kg solute per100kg solvent)
c
Cold solubility (kg solute per100kg solvent)

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

  • Solution composition, supplied solubility endpoints. Returns Ideal crystal recovery. All coefficients and observations are user supplied; results describe only the stated mathematical model. 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. Initial saturated solution mass (kg): minimum 1e-12, maximum 1000000000000.0. Hot solubility (kg solute per100kg solvent): minimum 1e-12, maximum 1000000000000.0. Cold solubility (kg solute per100kg solvent): minimum 0, maximum 1000000000000.0.
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