Escherichia coli bacteria are harvested from a fermentation broth using a disc stack centrifuge with 72 discs operated at 7300 rpm. the outer diameter of the discs is 15 cm, the inner diameter is 7.5 cm, and the half-cone angle is 36 degree. the broth viscosity is 1.25 cp, the liquid density is 1025 kg m^-3, and the smallest cell size is 1.1 mu m. the density of e. coli cells is determined by laboratory measurement to be 1.06 g cm^-3. assume that the centrifuge operates ideally. (a) estimate the maximum throughput of broth in litres h^-1 that can be handled by this system while still achieving the desired separation. (b) the measurement of e. coli cell density has a small error of plusminus 2% associated with it. if the particle density is actually 2% lower than the value provided by the laboratory, what effect does this have on the estimated maximum throughput? what conclusions about predicting centrifuge performance can you draw from this result?