Water is essential for our lives, as it is necessary for all the body organs to function properly. Water is absorbed by the body through the blood vessels (2,wesi 2,0 yil in the digestive system (wa-i, J4>i). Consider a blood vessel as a cylinder of length L and radius. R as shown in the figure that absorbs water through its walis. The blood entering and exiting the vessel have water mole. fraction of yAin and yAomi, respectively. The mole fraction of water at the vessel walls is considered constant yAe. The water absorbed by the blood is continuously consumed by the body maintaining a constant source and sink of water in the blood. The flux of blood is considered to be equal to the flux of water in the vessel. You want to develop a differential model for this process to predict the water distribution in the blood vessel. Based on the discussion, answer the following questions: 1. State at least 5 assumptions and translate them into mathematical forms. ( 5 grades) 2. Develop a differential model in terms of water mole fraction of this process based on the assumptions you made. ( 6 grades) 3. List the boundary conditions/initial conditions. (4 grades)