Problem 2 You are in charge of the scale-up of a process to produce Bacillus stearothermophilus, which is used as a sterilization indicator in autoclaves (i.e., you need to grow the cells to put in the indicators). Your production/research group has determined that the optimum agitation speed to grow the bacteria in a fermenter with a liquid volume of 10.5L, equipped with four baffles and a pitched-blade turbine impeller was found to be 1150 rpm. The height to diameter ratio is 3 to 1 for all available fermenters, and all fermenters have four baffles. Assume that the precision on the fermenter volume is known to 3 significant figures. Neglect aeration in this first approximation. Use reasonable assumption for fluid parameters not given. Consider how precision your estimates need to be to get reasonable solutions. Calculate the agitation speed for a geometrically similar 100,000-L fermenter, where the scale-up factor is the power per unit volume