Description
Return a cooling-crystallization mass-yield term.
A process stream can be described on mass, mole, phase or solvent bases, which are not interchangeable. Lever rules, partition factors and operating-line terms assume compatible composition definitions and an appropriate physical model; a local balance does not determine equilibrium properties or a complete separation design.
Return a cooling-crystallization mass-yield term.
When to use this tool
Use Crystallization Solubility Cooling Yield Term when checking the stated stream composition, phase or separation-model term.
How to use the tool and how it works
- Enter solventMass, initialSolubility, finalSolubility, crystalRecovery. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read theoreticalCrystalMass, recoveredCrystalMass, dissolvedRemaining. Use the output convention below.
Return a cooling-crystallization mass-yield term. Require solventMass >= 0 and initialSolubility >= finalSolubility >= 0, recovery in [0,1]; theoretical crystals = solvent*(initial-final), recovered multiplies recovery, dissolved remaining = solvent*final.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| solventMass | Solvent Mass | Required. Finite number; minimum 0. |
| initialSolubility | Initial solute mass per solvent mass, not per total solution mass. | Required. Finite number. |
| finalSolubility | Final solute mass per solvent mass on the same basis. | Required. Finite number; minimum 0. |
| crystalRecovery | Crystal Recovery | Required. Finite number; minimum 0; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| theoreticalCrystalMass | Theoretical Crystal Mass | Required. Finite number. |
| recoveredCrystalMass | Recovered Crystal Mass | Required. Finite number. |
| dissolvedRemaining | Dissolved Remaining | Required. Finite number. |
{
"input": {
"solventMass": 100,
"initialSolubility": 0.5,
"finalSolubility": 0.2,
"crystalRecovery": 0.8
},
"output": {
"theoreticalCrystalMass": 30,
"recoveredCrystalMass": 24,
"dissolvedRemaining": 20
}
}Limitations and assumptions
- Solubilities are solute mass per solvent mass, not solution mass fractions; solvent loss and actual phase equilibrium are not modeled.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use verified equilibrium and material-property data on consistent bases and solve the complete process model for actual separation or equipment decisions.
References
Similar or alternative tools
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