1. First Order Systems In Series, No Interaction ChE479

2. Mixing Tanks In Series, no interaction F A, C A0 F A1, C A1 F A2, C A2

3. Mixing Tanks In Series, with Interactions F A, C A0 F A1, C A1 F A2, C A2 h1h1 h2h2

4. Focus on Non-Interacting Systems F A, C A0 F A1, C A1 F A2, C A2 Initial Conditions are: at t=0----> C A1 (t=0)=C A2 (t=0)=C A0init

5. Impose a Disturbance on the Input Concentration t C A0 t=0 C A0init C A0 (t>0)

6. Solution To the Problem Observation of the governing material balance equations clearly shows that the behavior of the first tank depends on the changes imposed on the input. It does not depend on the behavior of the second tank. Solution to this equation results to the already known result of: Where  1 is the characteristic time for the first tank

7. Response of First Tank

8. Second Tank ? The output of the first tank is now the input to the second tank: Can be easily solved using an integrating factor: