A 500-litre tank of uniform cross-sectional area of 0.25 m2 is used for liquid storage. The outle resistance, which we may assume to be linear, c = o.1 m2/min. The entire system was at steady state when the inlet flow rate, Fi = 0.04 m3/min. Now answer the following questions: i) Draw the process diagramme with a feedback control configuration (strategy) for this tank. ii) What is the initial value of the liquid level in the tank? iii) If the inlet flow rate was suddenly changed to, Fi = 0.12 m3/min, obtain the expression for how the liquid level will change with time. iv) When will the liquid level get to the 1 m mark? To what final level will the liquid ultimately settle? v) On the same axis, draw and accurately label the response curve as well as the step function of (iii). vi) If the inlet flow rate was changed to 0.15 m3/min and held at this value for only 2.5 min before it was changed back to the initial 0.04 m3/min, find to which level the liquid will attain. Will the liquid overflow? vii) On the same axis, draw and accurately label the response and the forcing fun