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Calcimator

Crystallization Yield Calculator

Calculate crystal yield, mother liquor mass, and percent recovery for cooling and evaporative crystallization operations.

Inputs

lb
mass fraction
°F
g/100g solvent
%

Results

Crystal Yield

195 kg

≈ 20 car tires

Percent Recovery

65%

Mother Liquor Mass805 kg
Theoretical Yield300 kg
How to Use This Calculator
  1. Enter the Initial Solution Mass in kg and the Initial Concentration as a mass fraction (e.g., 0.30 = 30% solute).
  2. Enter the Final Temperature in °C to which the solution will be cooled.
  3. Enter the Solubility at the Final Temperature in g/100g solvent — look this up in solubility tables or CRC Handbook for your solute.
  4. Set the Solvent Evaporation % if you are combining cooling and evaporation crystallization (evaporative crystallization).
  5. Read the Crystal Yield in kg and the Percent Recovery — higher recovery means less solute remains in the mother liquor.
  6. Use the Mother Liquor Mass to plan recycle or waste treatment of the remaining saturated solution.

How the result changes with Initial Concentration

Initial ConcentrationCrystal YieldPercent Recovery
0.10 kg0%
0.32220.3 kg68.42%
0.59527.35 kg89.53%
0.81782.65 kg96.5%

What each input means

Initial Solution Mass
Total mass of the initial hot solution (solute + solvent).
Initial Concentration
Mass fraction of dissolved solute in the initial solution.
Final Temperature
Temperature to which the solution is cooled for crystallization.
Solubility at Final Temp
Solubility of the solute at the final temperature in grams per 100 grams of solvent.
Solvent Evaporation
Percentage of solvent removed by evaporation before or during crystallization.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Initial Solution Mass = 1000, Initial Concentration = 0.3, Final Temperature = 20, Solubility at Final Temp = 15 = 5 input(s) provided
  2. Calculate Crystal Yield
    Crystal Yield
    195 = 195
  3. Calculate Percent Recovery
    Percent Recovery
    65 = 65
  4. Calculate Mother Liquor Mass
    Mother Liquor Mass
    805 = 805
  5. Calculate Theoretical Yield
    Theoretical Yield
    300 = 300

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