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Supporting information: ACTIVATED CARBON AND BIOCHAR AMENDMENTS DECREASE POREWATER CONCENTRATIONS OF POLYCYCLIC AROMATIC HYDROCARBONS (PAHs) IN SEWAGE SLUDGES Patryk Oleszczuk 1,2*, Sarah Hale 1, Johannes Lehmann 3, Gerard Cornelissen 1,4,5 1 Department of Environmental Engineering, Norwegian Geotechnical Institute NGI, Oslo, Norway, 2 Institute of Soil Sciences and Environmental Management, University of Life Sciences, Lublin, Poland, 3 Department of Crop and Soil Sciences, 908 Bradfield Hall, Cornell University, Ithaca, NY 14853, USA, 4 Department of Applied Environmental Sciences (ITM), Stockholm University, Stockholm, Sweden, 5 Institute for Plant and Environmental Sciences, University of Life Sciences (UMB), 5003 Ås, Norway. * patryk.oleszczuk@up.lublin.pl Journal: Bioresource Technology Number of pages: 5 Number of tables: 2

Calculation of K AC /K biochar for sewage sludge with AC/biochar Sorption to AC in an AC-amended sediment was calculated with a nonlinear Freundlich isotherm (1): C S f K C f K C (1) TOC TOC PW AC AC nf, AC PW C f K S TOC TOC PW K AC (2) nf, AC f ACCPW C where C S is HOC concentration in sediment or soil (ng/kg dry weight), C PW is porewater HOC concentration determined with POM passive samplers (ng/l), f TOC and f AC are the fractions of TOC and AC (either freshly added or field aged), respectively. K TOC and K AC are the sorbent-water distribution coefficients for TOC (L/kg) and AC, respectively [(ng/kg)/(ng/l) nf ]. K TOC was calculated as the measured distribution coefficients for unamended sediment normalized to sediment organic carbon content (K d =C S /C PW f OC ). Porewater concentrations were calculated from measured POM concentration using K POM values in Cornelissen et al. (2) for POM-55 µm and the relationship K POM =C POM /C PW. In the present study, the Freundlich exponent of AC sorption (n F,AC ) was assumed to be 0.8 based on recent modeling results by Werner et al. (3) and studies by McDonough et al. (4). Here a n F,BC value of 0.8 is used under the assumption that the main sorption mechanisms are similar for various PAHs in the same AC material.

Table S1. The log K AC [(ng/kg)/(ng/l) n ] values determined on the basis of equation (2) for AC in AC-amended sewage sludge PAHs CP1 BP2 AC dose [%] AC dose [%] 0.5% 2% 5% 10% Average SD 0.5% 2% 5% 10% Average SD Na 6.75 6.40 6.41 5.91 6.4 0.4 6.96 6.64 6.55 5.99 6.5 0.4 Fl 7.40 7.37 7.10 6.99 7.2 0.2 7.34 7.36 7.24 7.20 7.3 0.1 Phen 8.09 7.81 8.03 7.79 7.9 0.2 7.99 8.01 8.09 7.79 8.0 0.1 Ant 8.06 7.94 7.96 7.42 7.9 0.3 8.06 8.07 7.90 7.32 7.8 0.4 Fln 8.36 7.97 8.21 8.13 8.2 0.2 8.22 8.09 7.99 7.94 8.1 0.1 Pyr 8.31 7.92 8.09 8.03 8.1 0.2 8.18 7.99 7.90 7.80 8.0 0.2 BaA 8.81 8.55 8.63 8.47 8.6 0.2 8.72 8.58 8.48 8.33 8.5 0.2 Ch 8.64 8.35 8.39 8.24 8.4 0.2 8.57 8.39 8.33 8.09 8.4 0.2 BbF 8.87 8.88 8.61 8.45 8.7 0.2 8.80 8.75 8.77 8.54 8.7 0.1 BkF 9.17 9.08 9.35 8.67 9.1 0.3 9.12 9.00 8.95 8.59 8.9 0.2 BaP 9.04 8.86 8.81 8.66 8.8 0.2 8.95 8.95 9.04 8.59 8.9 0.2 Ind 9.34 9.43 9.36 9.02 9.3 0.2 9.27 9.50 9.31 9.12 9.3 0.2 BghiP 9.42 9.60 9.16 9.17 9.3 0.2 9.44 9.42 9.25 9.19 9.3 0.1 Na naphthalene, Fl fluorene, Phen phenanthrene, Ant anthracene, Fln fluoranthene, Pyr pyrene, BaA benzo[a]anthracene, Ch chryzene, BbF benzo[b]fluoranthene, BkF benzo[k]fluoranthene, BaP benzo[a]pyrene, Ind indeno[1,2,3-cd]pyrene, BP benzo[ghi]perylene.

Table S2. The log K biochar (ng/kg)/(ng/l) n ]values determined on the basis of equation (2) for biochar in biochar-amended sewage sludge PAHs MG PMW Biochar dose [%] Biochar dose [%] Average SD 0.5% 2% 5% 10% 0.5% 2% 5% 10% Average SD Na 6.68 6.11 5.76 5.47 6.0 0.5 6.72 6.23 5.89 5.63 6.1 0.5 Fl 6.94 6.39 6.04 5.76 6.3 0.5 6.91 6.40 6.09 5.98 6.3 0.4 Phen 7.53 6.99 6.64 6.39 6.9 0.5 7.55 7.05 6.75 6.63 7.0 0.4 Ant 7.57 6.97 6.61 6.36 6.9 0.5 7.53 6.99 6.59 6.63 6.9 0.4 Fln 7.95 7.36 7.04 6.72 7.3 0.5 7.96 7.44 7.18 6.97 7.4 0.4 Pyr 7.96 7.38 7.04 6.75 7.3 0.5 7.96 7.42 7.06 6.91 7.3 0.5 BaA 8.44 7.84 7.53 7.23 7.8 0.5 8.45 7.95 7.63 7.57 7.9 0.4 Ch 8.32 7.73 7.40 7.09 7.6 0.5 8.33 7.81 7.46 7.36 7.7 0.4 BbF 8.85 8.13 7.42 7.34 7.9 0.7 8.57 7.96 7.63 7.89 8.0 0.4 BkF 8.91 8.30 8.34 7.67 8.3 0.5 8.89 8.54 8.21 8.02 8.4 0.4 BaP 8.79 8.26 7.95 7.68 8.2 0.5 8.85 8.41 8.13 7.89 8.3 0.4 Ind 9.00 8.40 8.12 7.83 8.3 0.5 9.05 8.66 8.49 8.35 8.6 0.3 BghiP 9.18 8.53 8.32 7.98 8.5 0.5 9.18 8.84 8.93 8.71 8.9 0.2 Na naphthalene, Fl fluorene, Phen phenanthrene, Ant anthracene, Fln fluoranthene, Pyr pyrene, BaA benzo[a]anthracene, Ch chryzene, BbF benzo[b]fluoranthene, BkF benzo[k]fluoranthene, BaP benzo[a]pyrene, Ind indeno[1,2,3-cd]pyrene, BP benzo[ghi]perylen

References 1. Oen, A.M.P., Elmquist-Kruså, M., Beckingham, B., Ghosh, U., Luthy, R.G., Hartnik, T., Henriksen, T., Cornelissen, G., Sorption of organic compounds to fresh and field-aged activated carbons in soils and sediments (submitted) 2. Cornelissen, G.; Pettersen, A.; Broman, D.; Mayer, P.; Breedveld, G. D., Field testing of equilibrium passive samplers to determine freely dissolved native polycyclic aromatic hydrocarbons concentrations. Environ. Toxicol. Chem. 2008, 27, 490-508. 3. Werner, D.; Hale, S. E.; Ghosh, U.; Luthy, R. G., Polychlorinated biphenyl sorption and availability in field-contaminated sediments. Environ. Sci. Technol. 2010, 44, 2809-2815. 4. McDonough, K. M.; Fairey, J. L.; Lowry, G. V., Adsorption of polychlorinated biphenyls to activated carbon: Equilibrium isotherms and a preliminary assessment of the effect of dissolved organic matter and biofilm loadings. Water Res. 2008, 42, 575-584.