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Helium Mixture Molar Fraction Term Tool

Explicit two-component isotope-mixture mass/mole balance, without assuming isotope abundance or a phase diagram.

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Description

Return mole fraction, mass fraction and mean molar mass of a two-component mixture.

Cryogenic engineering calculations require compatible pressure, temperature, material and geometry conventions. A local heat-load, composition or contraction term assumes supplied properties and does not establish a safe system or complete thermodynamic state.

Return mole fraction, mass fraction and mean molar mass of a two-component mixture.

When to use this tool

Use Helium Mixture Molar Fraction Term when checking one supplied cryogenic measurement, material or load contribution.

How to use the tool and how it works

  1. Enter firstMoles, secondMoles, firstMolarMass, secondMolarMass. 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 firstMoleFraction, firstMassFraction, meanMolarMass. Use the output convention below.

Return mole fraction, mass fraction and mean molar mass of a two-component mixture. Require nonnegative mole amounts with positive sum and positive molar masses; weight by moles for average and by mole-times-molar-mass for mass share.1

Input fieldMeaning and unitsAccepted input
firstMolesFirst MolesRequired. Finite number; minimum 0.
secondMolesSecond MolesRequired. Finite number; minimum 0.
firstMolarMassPositive first-component mass per mole, in the same units as secondMolarMass.Required. Finite number; strictly above 0.
secondMolarMassSecond Molar MassRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
firstMoleFractionFirst Mole FractionRequired. Finite number.
firstMassFractionFirst Mass FractionRequired. Finite number.
meanMolarMassMole-fraction-weighted mean molar mass, in the input molar-mass units.Required. Finite number.
json
{
  "input": {
    "firstMoles": 1,
    "secondMoles": 1,
    "firstMolarMass": 3,
    "secondMolarMass": 4
  },
  "output": {
    "firstMoleFraction": 0.5,
    "firstMassFraction": 0.42857142857142855,
    "meanMolarMass": 3.5
  }
}

Limitations and assumptions

  • This ideal composition calculation does not identify phases, isotope purity or cryogenic operating properties.
  • 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 material properties and a complete qualified engineering assessment for practical cryogenic design, handling and operation.

References

  1. Calculation and input contract: cryogenics/helium-mixture-molar-fraction-term — tool.io

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