Chemical Reaction Engineering

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