Q\#7: A steam heated stirred tank shown in Figure 2.3 of your text book has the following operating conditions and constant parameters: Ti=50CLatentheatofvaporization(HV)ofwater=550cals/gC=1gCcals;wi=h104kg;=103m3kg;V=100m3 The manipulated variable (MV) is the steam rate and the controlled variable (CV) is the tank temperature. The set point of the CV is 150C. Assume the inlet temperature Ti stays constant for the operations below. (a) What is the steady state steam flow rate at the set point temperature? (b) Develop a transfer function model relating the temperature of water in the tank and steam flow rate. Calculate the process gain and time constant. (c) Suppose the steam is operating at the steady state steam flow rate calculated in (a). If the steam flow rate is then doubled, what will be the new steady state temperature? How long does it take to reach within a 5% of the final steady state? Q\#8: Two liquid storage systems are shown in Fig. below. Each tank is 4 feet in