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diminishes to zero as conversion is completed. There is no heat evolution during the cure phase. Equation (10.19) gave the thermal time constant of a continuous reactor. Among other things, it depended on reactant concentration and conversion. Since these are both variable in a batch reactor, it is entirely possible to proceed from an unstable to a stable condition with the passage of time. Control settings necessarily must favor the more difficult situation. In some batch reactions, one of the ingredients is introduced continuously until the other reactants are entirely consumed. The rate at which this ingredient is added is usually limited by the rate of heat removal. In order to carry out the reaction in minimum time, the batch must be heated to reaction temperature as rapidly as possible, where full cooling is applied. The temperature controller then must manipulate the addition of reactant through a linear cascade flow loop. An interlock must be arranged to prevent reactant from being introduced until the batch is approaching reaction temperature. Otherwise a quantity could accumulate accidentally within the batch, and once the reaction began, could generate heat in excess of the capabilities of the cooling system.

There is a kind of marathon for horses called an endurance ride. Horses and riders go day and night for ve days to cover hundreds of miles. There are frequent checkpoints. At every checkpoint, a veterinarian checks your horse. If the horse is overstrained, you are out. Why Because winning is not everything. Staying healthy and winning means a lot. Just the same, when your project comes to a gate, and the customer is evaluating your deliverables, you should evaluate your team. How are they holding up Do they need anything from simple praise to new tools to a new team member with special expertise And let the team do a check up on you and the project. Is there anything you could do to do a better job How are they feeling about the project In doing this, you take care of the team, the project, and also yourself.

y 10

x 2 1 0 1 2

540 Worked-Out Solutions to Exercises: 11-19

Review your project for learning. Make a rough sketch of the stages of your project. Answer these questions: What work will you do during each stage of the project Exactly what will you deliver at the end of each stage Who will approve each stage Do not forget to include yourself. What do you hope to learn at each stage What do you hope to have at the end of the project Can you picture it clearly now

and y = e x taken directly from Figs 14-1A and 14-2A Now let s consider the function y = ex e x Using the algebraic rules for exponents, we can rewrite this as y = e[x+( x)] which simplifies to y = e0 and further to y=1 The domain of this constant function encompasses all real numbers The range is the set containing the single element 1 The graph is a solid black horizontal line passing through the point (0,1) in Fig B-14 3 The dashed gray curves in Fig B-15 are the graphs of y = 10x and y = 10 x

Figure B-15

At the completion of the reaction, heat evolution will subside, causing the temperature controller to increase reactant flow. Since this is obviously incorrect action, some logic must be arranged to override tempera-

If you need to know more about the stages in order to answer these questions, go ahead and read Part Two.

y 10

x 1 0 1

14 541

In your own words: I believe that the stages of human and animal life are a good model for projects. Do you agree or disagree Why Think of a project that failed or ran into trouble. Can you identify a step that was missed, or not done well Think of a project that went well. Can you describe the work done in each stage Explain why customer review is essential at each gate. You are talking to your team. They are anxious about an upcoming gate. No one is sure the project is acceptable to the customer. Explain to your team why the review is good, even if it means the project may have major changes, or may be cancelled altogether.