Two-Stage Crystal Yield Optimization
Calculates actual crystal recovery, overall yield, and mother liquor loss for a two-stage continuous cooling crystallizer with specified separation efficiencies and solubility limits.
📖 Need the theory? Read the methodology, assumptions, and equations in the full reference guide.
1. Define Input Parameters
2. Engineering Output
Stage 1 Theoretical Crystals (m_c_theoretical_1)
- kg/h
- kg/h
Stage 1 Actual Crystals (m_c_actual_1)
- kg/h
- kg/h
Stage 1 Mother Liquor Solute Mass (m_solute_ml_1)
- kg/h
- kg/h
Stage 1 Mother Liquor Total Mass (m_total_ml_1)
- kg/h
- kg/h
Stage 2 Feed Mass Fraction (w_feed_2)
- kg/kg
- kg/kg
Stage 2 Theoretical Crystals (m_c_theoretical_2)
- kg/h
- kg/h
Stage 2 Actual Crystals (m_c_actual_2)
- kg/h
- kg/h
Total Actual Crystals (m_c_total)
- kg/h
- kg/h
Overall Yield (yield_overall)
- fraction
- fraction
Final Mother Liquor Loss (m_loss_final)
- kg/h
- kg/h
Need this calculation offline?
Download Offline Excel CalculationContext & Assumptions
Crystal yield optimization is essential in pharmaceutical, food, and specialty chemical processes to maximize solute recovery from supersaturated solutions. This calculator implements a sequential mass balance for a two-stage crystallizer where mother liquor from the first stage feeds the second stage, accounting for mechanical separation efficiency at each stage. The method assumes solvent mass conservation and equilibrium at each stage temperature.
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The results provided by this tool are for educational and preliminary estimation purposes only.
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All results MUST be independently verified by a qualified professional engineer before implementation in any industrial or physical environment.