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Pharma Powder Bulk Tapped Density Gap Tool

Compute supplied powder density ratios without choosing flowability categories.

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Description

Divide mass by bulkVolume and tappedVolume for densities.

Powder density and sieve calculations depend on preparation, tapping, size boundaries, and reporting direction. Computing an index does not choose a validated procedure or acceptance category.

Divide mass by bulkVolume and tappedVolume for densities.

When to use this tool

Use Pharma Powder Bulk Tapped Density Gap when you need a supplied powder-density or sieve-data crosswalk.

How to use the tool and how it works

  1. Enter mass, bulkVolume, tappedVolume. 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 bulkDensity, tappedDensity, hausnerRatio, carrIndexPercent. Use the output convention below.

Divide mass by bulkVolume and tappedVolume for densities. Return bulkVolume/tappedVolume as hausnerRatio and 100 × (bulkVolume - tappedVolume)/bulkVolume as carrIndexPercent.1

Input fieldMeaning and unitsAccepted input
massProbability mass, dimensionless, in the stated domain.Required. Finite number; strictly above 0.
bulkVolumeBulk VolumeRequired. Finite number.
tappedVolumeTapped VolumeRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
bulkDensityBulk DensityRequired. Finite number.
tappedDensityTapped DensityRequired. Finite number.
hausnerRatioHausner RatioRequired. Finite number.
carrIndexPercentCarr index in percent, using the bulk-volume denominator.Required. Finite number.
json
{
  "input": {
    "mass": 100,
    "bulkVolume": 200,
    "tappedVolume": 160
  },
  "output": {
    "bulkDensity": 0.5,
    "tappedDensity": 0.625,
    "hausnerRatio": 1.25,
    "carrIndexPercent": 20
  }
}

Limitations and assumptions

  • Volumes must be positive with bulk at least tapped; this computes indices without selecting powder-flow categories, test methods, or acceptance criteria.
  • 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

Follow the applicable validated test method and interpret results against approved material-specific criteria.

References

  1. Calculation and input contract: industrial-pharmacy/pharma-powder-bulk-tapped-density-gap — tool.io

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