According to principles of the embodiments as disclosed herein, an exhaust gas scrubber system with a two-chamber exhaust gas scrubber is provided which allows for scrubbing of exhaust gases without the use of chemicals. In particular, the process fluid used in the system may be seawater. The exhaust gas scrubber includes a first scrubbing chamber having a fluid spraying system, such as an array of atomizing nozzles that spray atomized seawater into the chamber. The atomized seawater aids in reducing the concentration of sulfur oxides in an exhaust gas stream.