Activated Carbon Adsorption Equilibrium Isotherms Mass transfer often relies on isotherms. Determine both the Freundlich and Langmuir isotherm coefficients for the following adsorption test data on granular activated carbon. The liquid volume used in the batch adsorption tests was 1 liter. The initial concentration of the adsorbate in solution was 3.37 mg/L. Equilibrium was obtained after 7 days. The following data is available. Mass of Carbon, m, grams Equilibrium Concentration of adsorbate in solution, Ce, mgL 0.000 3.37 0.001 3.27 0.010 2.77 0.100 1.86 0.500 1.33 Both Freundlich and Langmuir provide correlations for isotherm data. The Freundlich isotherm is defined as x/m=nK Celn Where; x/m = mass of adsorbate adsorbed per unit mass of adsorbent, mg adsorbate/ g of activated carbon K = Fruendlich capacity factor, (mg adsorbate/g activated carbon)(L water/mg adsorbate) 1'n Ce = equilibrium concentration of adsorbate left in solution after adsorption, mg/L 1 = Fruendlich intensity parameter The Langmuir adsorption isotherm is defined as x/m =abC/(1+bCe). Where; x/m= mass of adsorbate adsorbed per unit mass of adsorbent, mg adsorbate/ g of activated carbon g a,b = empirical constants Ce = equilibrium concentration of adsorbate left in solution after adsorption, mg/L Which correlation fits best