Table 5 Error functions models applied to investigate of the various isotherm models applicability.
EM name | Error equation | Equation no. |
|---|---|---|
ERRSQ | \(ERRSQ= \sum_{i=1}^{n}{\left({q}_{e,isotherm}-{q}_{e,cal}\right)}^{2}\) | (9) |
HYBRID | \(Hybrid= \frac{100}{p-n} \sum_{i=1}^{p}\left(\frac{{\left({q}_{e, isotherm}-{q}_{e, cal}\right)}^{2}}{{q}_{e,isotherm}}\right)i\) | (10) |
ARE | \(ARE= \frac{100}{n}+\sum_{i=1}^{n}\left|\frac{{q}_{e,isotherm}-{q}_{e,cal}}{{q}_{e,isotherm}}\right|i\) | (11) |
EABS | \(EABS= \sum_{i=1}^{n}\left|{q}_{e,isotherm}-{q}_{e,cal}\right|i\) | (12) |
MPSD | \(MPSD=100\times \sqrt{\frac{\sum_{i=1}^{n}{\left(\frac{{q}_{e, isotherm}-{q}_{e, cal}}{{q}_{e,isotherm}}\right)}^{2}}{n-p}}\) | (13) |
X2 | \({X}^{2}= \sum_{i=1}^{n}\left(\frac{\left(qemeas-qecal\right)^2}{qeexp}\right)\) | (14) |
APE | \(APE\%= \frac{100}{n}\times \sum_{i=1}^{n}\left|\frac{{q}_{e,isotherm}-{q}_{e,cal}}{{q}_{e,isotherm}}\right|i\) | (15) |
RMS | \(RMS=100\times \sqrt{\frac{\sum_{i=1}^{n}{\left(1-\frac{{q}_{e, cal}}{{q}_{e, isotherm}}\right)}^{2}}{n}}\) | (16) |
