2. Consider the system below, where bacteria cells are growing at 29C on a water filtration membrane made of polyvinylidene fluoride (PVDF). The membrane is of dimensions 15x15 cm and is 0.2 cm thick. The bacteria are aerobic and thus consume oxygen across the membrane at a constant rate of 0.03 mole/min. The other side of the membrane consists of pure water with dissolved oxygen concentration of 0.16 mmole/cm. At this temperature, it is known that the concentration of oxygen adsorbed onto the PVDF membrane is 22% of what it is in bulk concentration. Contaminated water Bacteria cells PDF ma y=0 Pure water Using this information and the appropriate equation from Table B.11: (A) develop an expression for concentration of oxygen throughout the membrane, and (B) calculate the concentration of oxygen at the membrane-cell interface (y=L)