In the non-interactive system consisting of two tanks that are immersed in each other; stvi levels in the first tank and in the second tank are h, and ₂. The outputs from the tanks are F₁ and F. F,...

In the non-interactive system consisting of two tanks that are immersed in each other; stvi levels in the first tank and in the second tank are h, and ₂. The outputs from the tanks are F₁ and F. F, and F₂ can use the relations F, kh, and F₂ = ₂ to flow streams. The system is initially in a fire state and the Tank is long-stretched 0.5 m³/h and is operated at the feed flow level. After a while, the feed flow rate is changed to Im²h with the step effect. The diameter of the tanks is 0,=1.5 m and 0-2 m. coefficients of friction k = 0.25 and k₂-0.75. a) Derive the transfer function G(s) of the system. b) Calculate the time constant (t) and process gain (K) values ​​of the tanks and the system. c) Calculate the steady-state values ​​of the liquid level in the tanks before and after the step. d) If the volume of the second tank is 25 m, how long after applying the hashing effect, the second tank does it overflow? e) In case the liquid level is controlled by the PID controller: assuming the time delay of the process is 0.5 minutes, determine the PID controller constants for the disturbance effect.