The slope of the line formed after plotting lnK vs. - \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \frac{1}{T} $$\end{document}1T provides the activation energy (E a) (Fig. 2). Using the Van’t Hoff-Arrhenius equation, it was possible to apply the activation energy to derive the equationFig. 2Arrhenius plot of RABR productivity (g · m-2 day-1) as a function of temperature (K). The slope of the best fit line for each concentration represents \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \frac{-{E}_a}{R} $$\end{document}−EaR where R = 8.314 J K − 1 mol − 1 and E a was calculated (Table 3) 3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \frac{K_2}{K_1}={\theta}^{T_2-{T}_1} $$\end{document}K2K1=θT2−T1in order to find the temperature correction coefficient; theta (Θ) . The activation energies and temperature correction coefficients are reported in Table 3, and were observed to be consistent with values seen in other biological systems [24–26].Table 3Temperature correction coefficients, activation energies, and constants of biofilm productivity and nutrient uptake at three levels of organic loading (TOC)Level of TOC (mg/L)Symbol1200600300Biomass Productivity (g m-2 day-1)K8.696.445.15Activation Energy (J K-1 mol-1)Ea 647397395440Temperature Correction Coefficient (unitless)Θ1.00961.01451.0081Nitrogen Uptake Rate (mg m-2 day-1)KN 1.220.910.723Nitrogen Correction Coefficient (unitless)ΘN 1.00981.01511.0078Phosphorus Uptake Rate (mg m-2 day-1)KP 0.170.120.1Phosphorus Correction Coefficient (unitless)ΘP 1.01011.01491.0116