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Filter Cake Solids Dry Basis

Crosswalk measured wet-basis cake solids and moisture per dry mass without selecting a filtration model.

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Description

Calculate supplied cake wet-basis solids and dry-basis moisture ratios.

Engineering scalar terms depend on mass versus mole bases, absolute state variables and the process boundary. A vapor/liquid ratio differs from a reaction equilibrium constant, space time differs from a measured residence-time distribution, and fouling-area scaling preserves a specified heat-transfer product. Supplied terms do not validate an actual process.

Calculate supplied cake wet-basis solids and dry-basis moisture ratios.

When to use this tool

Use Filter Cake Solids Dry Basis when you already have wetCakeMass, drySolidsMass and need to calculate supplied cake wet-basis solids and dry-basis moisture ratios.

How to use the tool and how it works

  1. Enter wetCakeMass, drySolidsMass. 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 wetBasisSolidsFraction, moisturePerDryMass. Use the output convention below.

Require wetCakeMass>0 and drySolidsMass in (0,wet]; return dry/wet and (wet-dry)/dry.1

Input fieldMeaning and unitsAccepted input
wetCakeMassWet Cake MassRequired. Finite number; strictly above 0.
drySolidsMassDry Solids MassRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
wetBasisSolidsFractionWet Basis Solids FractionRequired. Finite number.
moisturePerDryMass(wetCakeMass-drySolidsMass)/drySolidsMass; a dry-basis ratio that can exceed one.Required. Finite number.
json
{
  "input": {
    "wetCakeMass": 20,
    "drySolidsMass": 5
  },
  "output": {
    "wetBasisSolidsFraction": 0.25,
    "moisturePerDryMass": 3
  }
}

Limitations and assumptions

  • The dry-basis moisture ratio may exceed one. No drying, composition, mass measurement, filtration, product quality or safe conditions are verified.
  • 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 complete material, energy, phase and equipment models with verified operating conditions. Check concentration bases, gas reference states and measurement uncertainty before applying local ratios or balances to process design or operation.

References

  1. Calculation and input contract: chemical-engineering/filter-cake-solids-dry-basis — tool.io

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