2. Spherical Absorbing Surface. (8 points) Assume that a bacterium can be idealized as a sphere of radius R. In order to survive, the bacterium needs oxygen. Consider an infinite suspending medium with an oxygen concentration c0. As the bacterium consumes oxygen, the oxygen around the bacterium gets depleted. a) Assume that every oxygen molecule reaching the bacterium's surface gets immediately absorbed. Find the full concentration profile c(r) of oxygen molecules in the bacterium's vicinity. b) Calculate the maximum number of oxygen molecules per time that the bacterium can consume