Biological fixation of CO2 using microalgae is an environmentally sustainable option for CO2 capture. In this study, response surface methodology (RSM) was used to model the CO2 uptake rate and specific growth rate of Chlorella kessieri, which had been identified previously as a promising strain for CO2 fixation, cultivated in oil sands process water (OSPW). The quadratic models developed were used to determine the optimal sets of CO2 concentration, phosphate concentration and light intensity for CO2 uptake rate and specific growth rate in batch operation. The optimal CO2 concentration, phosphate concentration and light intensity of 35%, 29 mM and 70 mu mol photons m(-2) s(-1) respectively, were estimated to maximize the CO2 uptake rate to 65.03 mg/L/day. Also, the maximum specific growth rate of 0.310 per day was obtained at 22% CO2 concentration, 29 mM phosphate concentration and 70 mu mol photons m(-2) s(-1). Finally, a multi-objective optimization technique was used to maximize the CO2 uptake rate and specific growth intensity. Thus, each of the optimal conditions correspond to high phosphate concentration and high light intensity in the ranges investigated, while the CO2 concentration varied between high and intermediate levels in the range investigated. (C) 2015 Elsevier Ltd. All rights reserved.