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Concentration Molality Mass Fraction Solvent Basis Tool

Convert moles solute per kilogram solvent and kilograms per mole to solute mass fraction.

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Description

Convert binary-solution molality to solute mass fraction.

Amount, mass and volume bases are distinct. Converting among them requires the appropriate molar mass, density, solvent basis or gas reference state; no universal factor can replace these supplied conventions.

Convert binary-solution molality to solute mass fraction.

When to use this tool

Use Concentration Molality Mass Fraction Solvent Basis when converting the stated concentration, molar quantity or gas-volume basis.

How to use the tool and how it works

  1. Enter molality, molarMass. 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 massFraction. Use the output convention below.

Convert binary-solution molality to solute mass fraction. Require molality >= 0 and molarMass > 0; r = molality*molarMass, massFraction = r/(1+r).1

Input fieldMeaning and unitsAccepted input
molalityMoles of solute per kilogram of solvent.Required. Finite number; minimum 0.
molarMassKilograms of solute per mole; kg/mol is required for the stated kg-solvent molality formula.Required. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
massFractionMass FractionRequired. Finite number.
json
{
  "input": {
    "molality": 2,
    "molarMass": 0.25
  },
  "output": {
    "massFraction": 0.3333333333333333
  }
}

Limitations and assumptions

  • Molality must be mol per kg of solvent and molar mass kg/mol; solvent mass, rather than total solution mass, defines the input basis.
  • 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 explicit compatible units and verified composition/state data; use a full mixture or equation-of-state model when fixed-property assumptions do not apply.

References

  1. Calculation and input contract: convert/concentration-molality-mass-fraction-solvent-basis — tool.io

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