After a day's hard work, you decide to take a relaxing, warm bath. So, you close the tube outlet of your bathtub and open the water tap. You need about 300 liters of water in your bath. The flow rate of water from the tap is 0.5L/s. You don't need Transport Phenomena to know that will take 600 seconds to fill your bath. But the question is: what if you use the concepts of transport phenomena? (a) Make a sketch of the situation and draw only the relevant quantities. (b) Set up a mass balance for the water in your bath. What is precisely the control volume you have chosen? Check the dimensions of all terms in your balance: are they all the same? Do they all reflect that you have set up a mass balance? (c) Solve this balance and find the time it takes to fill your bath. Check the dimensions in your calculation