Examples
Examples
Try the starting example
- Equilibrium dissolved concentrations
- 1,2,4,8
- Equilibrium adsorbed loading
- 0.5,0.8,1.142857142857,1.454545454545
- Model: 0 Langmuir reciprocal linearization; 1 Freundlich log linearization
- 0
- Fitted adsorption parameters
- [2,0.333333333334]
- Predicted loadings and residuals
- [[0.5,-4.24105195407e-14],[0.8,2.81996648255e-14],[1.14285714286,5.41788836017e-14],[1.45454545455,-2.22044604925e-14]]
- Transformed-fit R squared
- 1
Try another scenario
- Equilibrium dissolved concentrations
- [1, 2, 4, 8]
- Equilibrium adsorbed loading
- [0.5, 0.8, 1.142857142857, 1.454545454545]
- Model: 0 Langmuir reciprocal linearization; 1 Freundlich log linearization
- 1
- Fitted adsorption parameters
- [0.529381466902,1.94693499514]
- Predicted loadings and residuals
- [[0.529381466902,-0.0293814669016],[0.755763853911,0.0442361460888],[1.07895541984,0.0639017230126],[1.54035522073,-0.0858097661857]]
- Transformed-fit R squared
- 0.97976
Calculation method
Calculation method
Fitted adsorption parameters
Langmuir[qmax,K] from C/q versusC; Freundlich[K,n] from logq=logK+(1/n)logC.
Predicted loadings and residuals
[predicted,observed−predicted] in original units.
Transformed-fit R squared
R² of selected linearized regression; not nonlinear least squares.
Symbols and units
- a
- Equilibrium dissolved concentrations
- b
- Equilibrium adsorbed loading
- c
- Model: 0 Langmuir reciprocal linearization; 1 Freundlich log linearization
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Equilibrium concentrations-loadings, selected model. Returns Fitted parameters and residuals. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Equilibrium dissolved concentrations: minimum 1e-12, maximum 1000000000000.0. Equilibrium adsorbed loading: minimum 1e-12, maximum 1000000000000.0. Model: 0 Langmuir reciprocal linearization; 1 Freundlich log linearization: minimum 0, maximum 1.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.