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hello I need help for this QB and C F0(skggs),T0(C),(m3kg0) Figure 1: Process Tank System Figure 1 shows a well-insulated process tank system with an

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hello I need help for this QB and C

F0(skggs),T0(C),(m3kg0) Figure 1: Process Tank System Figure 1 shows a well-insulated process tank system with an overflow line, that cools down the Feed to the required temperature before leaving the tank as Product. To ensure that the temperature of the Product is controlled well, the operator changes the temperature of Feed via an upstream control system. The flowrate of Feed and the voltage (Vt) to the electrical cooler, on the other hand, are held constant at their respective steady-state values but Vt does fluctuate occasionally due to issues with an electrical transformer located in the substation. Assume the cooling rate from the cooler is Qt=aVt, where a is a constant and Qc is in kW. a. Based on the operator's action, identify the Controlled Variable (CV), Manipulated Variable (MV) and Disturbance Variable (DV) for the process tank system in Figure 1. (6 marks) b. Assume the heat capacity of Feed, denoted as Cpkgk+CkJJ, th , Fed Fensity are constant. Then by using deviation variables, show that (with additional assumptions) the relationship between the CV and MV identified in part (a) is given by the following transfer function: G0(s)=F02000s+11(17marks) c. Using the results from parts (a) and (b), the operator made two step changes sequentially: First, he made a step change with magnitude size of +1 to the MV and allow the CV to reach to a new steady-state value (denoted as SS1). Second, after the CV stabilized he made another step change with a magnitude size of (Cp and + are previously defined ) to the DV and allow the CV to settle to another new steady-state value (denoted as SS2). Determine the value of SS2 in terms of F2

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