The spreading of contagious disease in a community can be viewed approximately as a batch reactor. Averagely speaking, at UA (), a healthy person becomes sick after interacting with a sick person for 5 days and a sick person automatically recovers after 10 days. 1.1. If there are 5% of population is sick right now, what is the fraction of the sick population after 1 week, 1 months, and 2 months ( 7,30 , and 60 days) ? 1.2. If for another disease, a healthy person still gets sick after interacting with a sick person for 5 days, but a sick person automatically recovers after 3 days. If there are 20% of population is sick right now, what is the fraction of the sick population after 1 week, 1 months, and 2 months ( 7,30 , and 60 days) ? For such a problem, let's assume the normalized total population at UA is 1 , and the fraction of healthy people is H. Therefore, the fraction of sick people is 1H. (You can also assume the sick population is S, then healthy one is 1S ). Now, the "reaction" that converts a healthy person into a sick person is H+SS+S. The rate of this reaction is second order, with the rate constants 1/5 day 1. (here, H and S fractions are both normalized and dimensionless). Now, you should be able to set up the other reaction that converts a sick person back into a healthy person and its rate order, and reaction rate constant. The total generation rate of sick population will be the sum of the generation rates from these two "reactions". Now, you can set up the "mole" balance equation and solve this problem. You can solve this manually, if so, plot your results using excel. Or, you can use polymath, and if so, you need to include screenshots of results and plot. You need to show how you set up the