Consider the scale up of a fermentation from 10L to 10000L vessel. The small fermenter has a height to diameter ratio of 2. the impeller diameter is 25% of the tank diameter. Agitator speed is 400 rpm and three Rushton impellers are used. Determine the dimensions of the large fermenter and agitator speed for: a. Constant P/V b. Constant impeller tip speed c. Constant pumping rate per unit volume