Plotting the quantitative behaviour of the inlet concentration versus time.
A mixing process may be described as follows: a stream with solute concentration Ci (pounds/volume) is fed to a perfectly stirred tank at the constant flow rate of q(volume/time). The perfectly mixed product is withdrawn from the tank, also at flow rate q at the same concentration as the material in the tank, C. The total volume of solution in the tank is constant at V. Density may be considered to be independent of concentration.
A trace of the tank concentration versus time appears as shown in the below figure.
a. plan on this same figure your best guess of the quantitative behaviour of the inlet concentration versus time. Be sure to label the graph with quantitative information regarding times and magnitudes and any other data that will demonstrate your understanding of the situation.
b. prepare down an equation for Ci as a function of time.