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Membrane Solute Rejection Concentration Ratio Tool

Calculate membrane solute rejection concentration ratio from explicit caller-supplied inputs.

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Description

Return membrane rejection, flow recovery and solute transmission.

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 membrane rejection, flow recovery and solute transmission.

When to use this tool

Use Membrane Solute Rejection Concentration Ratio when checking the stated stream composition, phase or separation-model term.

How to use the tool and how it works

  1. Enter feedConcentration, permeateConcentration, feedFlow, permeateFlow. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read observedRejection, recoveryFraction, soluteTransmissionRate. Use the output convention below.

Return membrane rejection, flow recovery and solute transmission. Require feedConcentration/feedFlow > 0, permeateConcentration >= 0 and permeateFlow in [0,feed]; rejection = 1-Cp/Cf, recovery = Qp/Qf, transmissionRate = Cp*Qp.1

Input fieldMeaning and unitsAccepted input
feedConcentrationFeed ConcentrationRequired. Finite number; strictly above 0.
permeateConcentrationPermeate ConcentrationRequired. Finite number; minimum 0.
feedFlowFeed FlowRequired. Finite number; strictly above 0.
permeateFlowPermeate FlowRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
observedRejection1-permeateConcentration/feedConcentration; can be negative.Required. Finite number.
recoveryFractionRecovery FractionRequired. Finite number.
soluteTransmissionRateSolute Transmission RateRequired. Finite number.
json
{
  "input": {
    "feedConcentration": 10,
    "permeateConcentration": 2,
    "feedFlow": 100,
    "permeateFlow": 20
  },
  "output": {
    "observedRejection": 0.8,
    "recoveryFraction": 0.2,
    "soluteTransmissionRate": 40
  }
}

Limitations and assumptions

  • Rejection may be negative when permeate exceeds feed concentration; actual membrane selectivity, concentration polarization and performance are not inferred.
  • 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

  1. Calculation and input contract: chemical-engineering/membrane-solute-rejection-concentration-ratio — tool.io

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