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Chemical Reaction Engineering

Chemical Reaction Engineering. Chapter 2: Conversion and Reactors in Series. Reactor Mole Balance Summary. Conversion. Conversion. Conversion. Batch Reactor Conversion. For example, let’s examine a batch reactor with the following design equation:. Batch Reactor Conversion.

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Chemical Reaction Engineering

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  1. Chemical Reaction Engineering Chapter 2: Conversion and Reactors in Series

  2. Reactor Mole Balance Summary

  3. Conversion

  4. Conversion

  5. Conversion

  6. Batch Reactor Conversion • For example, let’s examine a batch reactor with the following design equation:

  7. Batch Reactor Conversion • For example, let’s examine a batch reactor with the following design equation: • Consider the reaction:

  8. Batch Reactor Conversion • For example, let’s examine a batch reactor with the following design equation: • Consider the reaction:

  9. Batch Reactor Conversion • For example, let’s examine a batch reactor with the following design equation: • Consider the reaction: Differential Form: Integral Form:

  10. CSTR Conversion Algebraic Form: There is no differential or integral form for a CSTR.

  11. PFR Conversion PFR

  12. PFR Conversion PFR

  13. PFR Conversion PFR Differential Form: Integral Form:

  14. Design Equations

  15. Design Equations

  16. Design Equations

  17. V Design Equations

  18. V Design Equations

  19. Example

  20. 0.01 0 Example

  21. 0.01 0 0 Example

  22. 0.01 0 0 50 40 30 20 10 0.6 0.8 0.2 0.4 Example X

  23. Reactor Sizing • Given -rA as a function of conversion, -rA=f(X), one can size any type of reactor.

  24. Reactor Sizing • Given -rA as a function of conversion, -rA=f(X), one can size any type of reactor. • We do this by constructing a Levenspiel plot.

  25. 50 40 30 20 10 0.6 0.8 0.2 0.4 Reactor Sizing • Given -rA as a function of conversion, -rA=f(X), one can size any type of reactor. • We do this by constructing a Levenspiel plot. • Here we plot either as a function of X.

  26. 50 40 30 20 10 0.6 0.8 0.2 0.4 Reactor Sizing • Given -rA as a function of conversion, -rA=f(X), one can size any type of reactor. • We do this by constructing a Levenspiel plot. • Here we plot either as a function of X. • For vs. X, the volume of a CSTR is: XEXIT Equivalent to area of rectangle on a Levenspiel Plot

  27. 50 40 30 20 10 0.6 0.8 0.2 0.4 Reactor Sizing • Given -rA as a function of conversion, -rA=f(X), one can size any type of reactor. • We do this by constructing a Levenspiel plot. • Here we plot either as a function of X. • For vs. X, the volume of a CSTR is: • For vs. X, the volume of a PFR is: XEXIT Equivalent to area of rectangle on a Levenspiel Plot =area = area under the curve

  28. Numerical Evaluation of Integrals • The integral to calculate the PFR volume can be evaluated using Simpson’s One-Third Rule:

  29. Numerical Evaluation of Integrals • The integral to calculate the PFR volume can be evaluated using Simpson’s One-Third Rule (see Appendix A.4 on p. 924):

  30. Reactors In Series

  31. Reactors In Series

  32. Reactors In Series

  33. Reactors in Series • Also consider a number of CSTRs in series:

  34. Reactors in Series • Finally consider a number of CSTRs in series: • We see that we approach the PFR reactor volume for a large number of CSTRs in series: X

  35. Summary

  36. Summary

  37. Summary

  38. Summary

  39. Summary

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