Methodology
Each model uses its declared linearized ordinary-least-squares transform.
Raw-space RMSE comparison uses the same positive Ce/qe data points.
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Engineering Tool · Adsorption & Chemicals
Adsorption Isotherm Screening
Linearized OLS regression for Freundlich, Langmuir, and BET models, with separate mathematical-fit and physical-usability status. Only physically usable fits can predict or hand off to activated-carbon sizing.
PFAS / Activated CarbonStage 03 — Adsorption Sizing
ATLAS WTS · Process Engineering
Activated Carbon Adsorption Isotherm Analyzer
Enter bottle-point equilibrium data and screen Freundlich, Langmuir, and BET isotherms by linearized regression. Physical parameter validity is gated separately, and model comparison uses a common raw-space error metric.
Equilibrium Test Data
Ce = residual (equilibrium) concentration (dissolved for Liquid Phase, in the gas stream for Gas Phase). qe = mass adsorbed per unit mass of carbon, typically qe = (C0−Ce)·V/M from a bottle-point test. At least 3 points are recommended per model for a meaningful regression. Liquid ppm/ppb assume a dilute aqueous solution (density ≈ 1 kg/L); gas ppmv/ppbv/Pa require the Molar Mass field (ideal gas law, 25°C/1 atm). g/kg is numerically identical to mg/g; g/100g is numerically identical to wt%.
Chart Identity (for report title — optional)
Model
Isotherm Fit
Active Model R² —
Single-Point Predictor
Predicted qe
—
Enter a Ce value to predict qe only after the active model passes the physical-parameter gate. The point is highlighted on the chart above with dashed projection lines.
Model Comparison
R² is the linearized-regression metric. Cross-model ranking uses common raw-space qe RMSE on the same positive Ce/qe points; physically unusable fits are excluded from prediction and handoff.
Predicted vs. Observed (Active Model)
Notes & Warnings
Powered by ATLAS WTS · internal tool, not for external distribution
01
Engineering Basis
Standards / Reference Basis
Assumptions
- The screen compares Freundlich, Langmuir, and BET models against laboratory Ce/qe data.
- A successful regression is reported separately from physical parameter usability.
Scope / Limitations
- Preliminary adsorption-isotherm screening with separate fit and physical-usability status.
- Negative, singular, non-finite, or otherwise unusable parameter sets are not valid predictors.
- Only physically usable fits can predict or transfer parameters to Activated Carbon Sizing; verify against project bench data and references before final use.
02
Engineering Path
Scenario
- Advanced Drinking Water Purification Technological strategies for multi-barrier protection against emerging contaminants in municipal potable water.
- Municipal Wastewater Treatment & Reuse Engineering circular water economies through Membrane Bioreactors and advanced nutrient recovery.
Workflow
- PFAS / Activated Carbon A six-stage decision path from PFAS and matrix characterization through pretreatment, carbon screening, lead/lag operation, field monitoring, and spent-media decisions. Stage 03 — Adsorption SizingReturn to Stage 03