Solutions for Tutorial 5

McMaster UniversitySolutions for Tutorial 5Empirical ModellingIn this tutorial, you are going to apply the principles you have learned in Chapter 6 toidentify a model of a chemical process empirically. The non-isothermal CSTR shown inFigure 5.1 is considered in this problem.CF A0Solvent CAT 0vA TA → BPure ATCTC outinvCFCFigure 5.1 Non-isothermal CSTR with cooling coils.Empirical Model IdentificationAn experiment has been performed to identify the model relating the reactorconcentration, C , and the coolant valve opening, v . A step change of +20 % wasA Cintroduced in v , and reactor concentration was measured using an analyzer. The processCreaction curve is shown in Figure 5.2.02/07/01 Copyright © 2000 by Marlin and Yip 1McMaster University0.50.450.40.350 10 20 30 40 50 60 70 80 90 100time (min)80706050400 10 20 30 40 50 60 70 80 90 100time (min)Figure 5.2 Process reaction curve for a step change in v .C5.1 Determine the parameters for the first order with dead time model.5.2 Critique your results carefully.Before we begin to perform the calculations, we must thoroughly evaluate the experimentand data to be sure that1. the procedures were designed and performed correctly and2. the data represents the processLet’s begin with the experiment procedures for the process reaction curve method.Process reaction curve True for this experiment?Is the input signal nearly a perfect step? YesAre the assumptions of output behavior valid ...