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A toxic liquid stream is flowing via two stirred tanks in series. In each tank, the outlet flow rate from the tank is proportional to tank volume (Vi = KiVi), where Vi is the tank volume and Vi is the outlet flow rate from the tank. For tank 1, which consists of a capacity of 15 m3, the constant K1= 0.3. For tank 2, which consists a capacity of 5 m3, the constant K2 = 0.67. Initially, the liquid flow into tank 1 is V0 = 2.0 m3/min and the system is operating at steady state.

Q1. Find out the quantities of liquid in each tank at this initial steady state. Since of a flow controller failure, the liquid flow rate into tank 1 is suddenly doubled to VN = 4 m3/min. The operator identifies this disturbance exactly 5 minutes after change takes place and returns the inlet flow to tank 1 back to its original flow rate of 2 m3/min.

Q2. Determine the volume of liquid in each tank would have been if the system would have been permitted to reach a new steady state at a flow of Vn = 4 m3/min?

Q3. Did the operator identify the process disturbance soon enough to prevent any damage to or danger in the vicinity of method?

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