PFR Volume Calculator
Isothermal constant-molar-inlet PFR design integral F_A0∫dX/(−r_A), independently matched inverse-rate curve, not CSTR residence time. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.
Description
A plug-flow reactor design integral uses inverse reaction rate over conversion.
A plug-flow reactor design integral uses inverse reaction rate over conversion.1
Its result requires a consistent concentration-rate basis and independently established kinetics. Use this tool to calculate PFR Volume from the supplied measurements and assumptions.
When to use PFR Volume Calculator
Use this tool to calculate PFR Volume from the supplied measurements and assumptions. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
How to use PFR Volume Calculator and understand its results
- Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
- Enter observedConversionFractions, callerMatchedInverseReactionRatesM3SecondMol, inletReactantMolSecond, using the field meanings and rules below, then run the tool.
- Read pfrIntegratedVolumeM3. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedConversionFractions | Observed conversion fractions | list of number | Required |
| callerMatchedInverseReactionRatesM3SecondMol | Caller matched inverse reaction rates m3 second mol | list of number | Required |
| inletReactantMolSecond | Inlet reactant mol second | number | Required |
Enter at least two strictly increasing conversion fractions in [0,1] beginning at zero, aligned positive inverse-rate values and positive inlet molar flow. Apply trapezoidal integration over conversion and multiply by inlet flow to return m³ under compatible inverse-rate units. No extrapolation, kinetic fitting or variable-state reactor model is supplied.
volumeM³=inletMolesPerSecond×ΣΔconversion×(inverseRate_i+inverseRate_(i+1))/2 Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| pfrIntegratedVolumeM3 | Pfr Integrated Volume M3; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"observedConversionFractions": [
0,
0.5,
1
],
"callerMatchedInverseReactionRatesM3SecondMol": [
1,
2,
3
],
"inletReactantMolSecond": 2
},
"output": {
"pfrIntegratedVolumeM3": 4
}
}Limitations and assumptions
Its result requires a consistent concentration-rate basis and independently established kinetics. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use McCabe-Thiele Stages Calculator for this related task: McCabe-Thiele stepping uses an equilibrium relation and an operating line.
Use NTU Heat Exchanger Sizing Calculator when its separate inputs and assumptions fit the question: Counterflow NTU sizing relates target effectiveness and heat-capacity ratio to transfer area.
References
-
PFR Volume Calculator — tool.io
Similar or alternative tools
- McCabe-Thiele Stages Calculator
McCabe-Thiele stepping uses an equilibrium relation and an operating line.
- NTU Heat Exchanger Sizing Calculator
Counterflow NTU sizing relates target effectiveness and heat-capacity ratio to transfer area.