In this assignment, you are asked to write a Matlab program to solve the following open-ended problem, and submit the program and a written summary including Methods employed, algorithm implementation, final results with discussion on error analysis and recommendation on further improvement. Note that students may choose only one team member to complete this assignment. Problem statement: A mass balance for a chemical in a completely mixed reactor can be written as dc dt where V volume (20 m3), c concentration (g/m3), F feed rate, Q- flow rate (1 m2/min), and k = a reaction rate (0.25 m0g2/min). Assume c(0)-0 and known feed rate, the time for the concentration reaches a stable level can be determined by solving the ODE. Consider the feed rate can be varied from 100g/min to 300 g/min, please examine the feed rate effects on the time for the concentration reaches a stable level and the stable level concentration. Please implement wo pite methods to solve for the ODE, and compare the results obtained. In this assignment, you are asked to write a Matlab program to solve the following open-ended problem, and submit the program and a written summary including Methods employed, algorithm implementation, final results with discussion on error analysis and recommendation on further improvement. Note that students may choose only one team member to complete this assignment. Problem statement: A mass balance for a chemical in a completely mixed reactor can be written as dc dt where V volume (20 m3), c concentration (g/m3), F feed rate, Q- flow rate (1 m2/min), and k = a reaction rate (0.25 m0g2/min). Assume c(0)-0 and known feed rate, the time for the concentration reaches a stable level can be determined by solving the ODE. Consider the feed rate can be varied from 100g/min to 300 g/min, please examine the feed rate effects on the time for the concentration reaches a stable level and the stable level concentration. Please implement wo pite methods to solve for the ODE, and compare the results obtained