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Bruce Mayer, PE Registered Electrical & Mechanical Engineer BMayer@ChabotCollege

Engr/Math/Physics 25. Prob 5.47, 5.57 Tutorial. Bruce Mayer, PE Registered Electrical & Mechanical Engineer BMayer@ChabotCollege.edu. Problem 5.47  Chemical Rcn Order. 1 st Order Rate Eqn is Expontnential. By SemiLog Linearization we can “Discover” parameters [m & b]  [C(0) & −k]

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Bruce Mayer, PE Registered Electrical & Mechanical Engineer BMayer@ChabotCollege

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  1. Engr/Math/Physics 25 Prob 5.47, 5.57Tutorial Bruce Mayer, PE Registered Electrical & Mechanical EngineerBMayer@ChabotCollege.edu

  2. Problem 5.47  Chemical Rcn Order • 1st Order Rate Eqn is Expontnential • By SemiLog Linearization we can “Discover” parameters [m & b]  [C(0) & −k] • 2nd Order Eqn can be LINEARIZED as • Thus ANOTHERLinearizable Fcn

  3. Prob Solve 1st Step → PLOT it • Advice for Every Engineer and Applied Mathematician or Physicist: • Rule-1: When in Doubt PLOT IT! • Rule-2: If you don’t KNOW when to DOUBT, then PLOT EVERYTHING

  4. Prob 5.47 • When in Doubt PLOT (use SubPlot) • Some CURVATURE • Straight • Better Model • t X • 1/C Y

  5. Now that the plot has identified the Rcn as 2nd Order, Make Linear Xform The 2nd Order Eqn Linear Xform of 2nd Order Reaction • Use polyfit of order-1 to generate fitting parameters contained in vector k_1overC0 • That is: k_1overC0 = [m, B2]; or • k_1overC0(1)= m = k • k_1overC0(2)= B2 = 1/C(0)

  6. The 2nd Order Model

  7. P 5.47 Answer • k_1overC0 = [m B2] = [k 1/C0] = [5.4445e-001 9.9605e+001] • k = 5.4445e-001 • k = 0.54445 • C0 =1/9.9605e+001 • 1.0040e-002 • C(0) = 0.01004

  8. P5.57 Geometry • E-Field Governing Equation

  9. The Distance Calcs • Using Pythagorean Theorem

  10. The MeshGrid Plot

  11. Meshc Plot MeshGrid

  12. surf Plot by MeshGrid

  13. The Loop Plot

  14. meshc Plot by Loop Note that plot is TURNED

  15. surf Plot by Loop Note that plot is TURNED

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