Considering the process shown in the schematic, you are interested in how the liquid level in the tank, h(t), and the tank temperature T(t) respond to changes in the inlet volumetric flow, Fi(t) and to changes in the temperature of the inlet stream, Ti(t).

The flow of liquid leaving the tank is given by: F(t) = w h

Where w is a constant

Do the following

a) Transfer function for the change in height, with respect to the inlet flow G_(h,Fi) (s) (2 points)

b) Static gain for the transfer function G_(h,Fi)(S) (1 point)

c) Time constant, 1, in the transfer function G_(h,Fi)(S)(1 point)

d) Transfer functions for the change in the temperature of the tank, with respect to the temperature of G_ (T,T1) (S)input current (3 points)

e) Time constant, 2, in the equation that describes the change in temperature (1 point) f) Representative block diagram of the process, considering the forcing variables and the variables response (2 points)