Assume that 1 kg of bacteria burn oxygen at a rate of 0.006 mol/s. This oxygen enters the bacterium by diffusion through its surface at a rate given by Ф 4 DRco, where D- 2 um2/ms is the diffusion constant for oxygen in water, Co 0.2 mol/m3 is the oxygen concentration, and R is the radius of the typical bacterium, which we assume to be spherical. (a) Show that the amount of oxygen that diffuses into the bacterium is greater than the amount used by the bacterium in metabolism. For simplicity, assume that the bacterium is a sphere.