Consider the mixing vessel shown in Figure 20.19. The feed stream flow rate, \(F_{1}\), and composition, \(C_{1}\), are considered to be disturbance variables. The feed is mixed with a control stream of flow rate \(F_{2}\) and constant known composition, \(C_{2}\). To ensure a product of constant composition, it is also possible to manipulate the flow rate, \(F_{3}\), of the product stream. Perform a degrees-of-freedom analysis and suggest alternative control system configurations. Note that unsteady-state balances are required.

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F, C Figure 20.19 Mixing vessel. h XD P, Cz