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Elements of Chemical Reaction ering 4th Ed - H. Scott Fogler 72

# Elements of Chemical Reaction ering 4th Ed - H. Scott Fogler 72

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40 Conversion and Reactor Sit~ng Chap. Constant-volume batch reactor Batch time t to achieve e conversion X u Batch Design Equation We call Equation (2-6) the differential form of the design equation for batch reactor because we have written the mole balance in terms of conversior The differential forms of the batch reactor mole balances. Equations (2-5) an1 (2-6). are often used in the interpretation of reaction rate data (Chapter 5 ) ant for reactors with heat effects (Chapter 9), respectiveIy. Batch reactors are fre quently used in industry for both gas-phase and liquid-phase reactions. Thl laboratory bomb calorimeter reactor is widely used for obtaining reaction rat1 data (see Section 9.3). Liquid-phase reactions are frequently carried out ii batch reactors when small-scale productton is desired or operating difficuftie, mle out the use of continuous flow systems. For a constant-volume batch reactor. V = V,,, Equation (2-5) can bc arranged into the form As previously mentioned. the differential
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Unformatted text preview: e.g. . Equa tion (2-7). is used for analyzing rate data jn a batch reactor as we will see ir Chapters 5 and 9. To determine the time to achieve a specified conversion X, we first sepa- rate the variables in Equation (2-6) as follows This equation is now integrated with the limits that the reaction begins at time equal zero where there is no conversion initially (i.e., t = 0, X = 0). Car- rying out the inteption, we obtain the time t necessary to achieve a conver- sion X in a batch reactor The longer the reactants are left in the reactor, the greater will be h e conver- sion. Equation (2-6) is the differential Form of the design equation. and Equa- tion (2-9) is the integral form of the design equation for a batch reactor. 2.3 Design Equations for Flow Reactors For a hatch reactor. we saw that conversion increases with time spent in the reactor. For continuous-flow systems, this time usually increases with increasing...
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