The first picture is of the prompt, the second is of the answer. Need to see the work on how to answer each part. Answers are provided in the prompt to make sure each part has been answered correctly. Please be sure to include the Matlab code for part c

(7) Problem 8.12 (Use MATLAB for part c) Consider a tank originally containing 300kg of a magnesium hydroxide-water (Mg(OH)2 H2O ) solution with 0.45 mass fraction of Mg(OH)2. At time t=0, a stream of water at 25 kg/min enters the tank, and at the same time, another stream of equal amount exits the tank. a. Assuming the contents of the tank are well mixed, develop the model that provides the mass fraction of Mg(OH)2 inside the tank after t=0. b. Solve the model to obtain the analytical expression relating the mass fraction in the tank to time. How long will it take to reduce the mass fraction of Mg(OH)2 form the initial value of 0.45 to 0.15, and to 0.03 ? c. Draw the shape of the response curve showing the mass fraction of Mg(OH)2 in the tank. Draw the corresponding curve if the streams entering and exiting the tank have a flow of 75kg/min instead of 25kg/min. What would be the curve if they were 125kg/min ? What is the difference between the three curves? Explain from a physical point of view how this difference is reflected in the mathematical model. 8.12 b. Time for reducing mass fraction to 0.15:t=13.19min Time for reducing mass fraction to 0.03:t=32.51min Answers to Selected Problems c. x=0.45e300wt As w increases, the negative exponent also increases, making the exponential term decrease faster