as - 2. The dynamic of liquid level, h(t), in horizontal cylindrical tank presents dh(t) 9in(t) - koh(t) h(0) > 0 (1) dt (2/2rh(t) 12(t)) where Gin(t) in incoming volumetric flow (m/h), ko is Torricelli's constant, r is tank radius (m), and L is the length of the tank. Linearize the equation at h(t) = hys and Gin () = 95% 1. An engineer is requested to develop a process control of a mixing process as shown below. The process is a mixing between hot stream at temperature Ty with the flow rate Fin. Hot and cold stream at temperature Tc with flow rate Fr.Cod into the reactor which temperature is Tr and volume V. Assumed that the mixing is perfect, the temperature Ty at any point in the reactor is similar to temperature going out from the reactor To. From thermodynamic class you know that the density of water is a function of temperature. It is linearly written as (T) = p. (1+T - T.)). where Prand T. are reference density and temperature, and b is coefficient of cubical expansion. Therefore, the system has not constant density Also you know from the class that the mixing temperature of hot and cold stream is laying in between cold and hot temperature Tc 0 (1) dt (2/2rh(t) 12(t)) where Gin(t) in incoming volumetric flow (m/h), ko is Torricelli's constant, r is tank radius (m), and L is the length of the tank. Linearize the equation at h(t) = hys and Gin () = 95%