(Problem 1 use Polymath)

A solution containing 0.03 mol/L of sugar in water is fed to a holding tank that initially has 200 L of pure water, in addition to microbes that eat sugar. The sugar disappears at a rate ( r) proportional to its own concentration (cs ):

r=0.055cs

The volumetric feed to the tank is increased linearly from 0 to 35 liters per second over a tensecond period, and remains constant thereafter at 35 L/s until the tank is filled to a desired level.

(a) What are the values for the sugar concentration in the tank and the total volume of liquid in the tank after a 60second period of time?

(b) Create a pair of plots (or a single unified plot) showing the tank volume and sugar concentration in the tank over

(c) Display the entire program code used for your problem solution in Polymath.