10.1. One-Dimensional Binary Mass Transfer in a Stefan Tube10.1.1. Concepts Demonstrated10.1.2. Numerical Methods Utilized10.1.3. Problem StatementMass Balance on Component A within Diffusion PathFick’s Law for Binary DiffusionFinal Equations and Boundary ConditionsAnalytical SolutionAdditional Information and Data10.1.4. Solution (Partial with Suggestions)(a), (b), and (c)10.2. Mass Transfer in a Packed Bed with Known Mass Transfer Coefficient10.2.1. Concepts Demonstrated10.2.2. Numerical Methods Utilized10.2.3. Problem StatementAdditional Information and Data10.2.4. Solution (Suggestions)10.3. Slow Sublimation of a Solid Sphere10.3.1. Concepts Demonstrated10.3.2. Numerical Methods Utilized10.3.3. Problem StatementAdditional Information and DataDiffusionMass Transfer Coefficient10.3.4. Solution (Partial with Suggestions)10.4. Controlled Drug Delivery by Dissolution of Pill Coating10.4.1. Concepts Demonstrated10.4.2. Numerical Methods Utilized10.4.3. Problem Statement (Adapted from Fogler,[4] p. 600)Additional Information and Data10.4.4. Solution (Suggestions)10.5. Diffusion with Simultaneous Reaction in Isothermal Catalyst Particles10.5.1. Concepts Demonstrated10.5.2. Numerical Methods Utilized10.5.3. Problem StatementAnalytical Solution10.5.4. Solution (Partial)(a) and (b) SphereDivision by ZeroBoundary Condition Convergence(c) Cylinder10.6. General Effectiveness Factor Calculations for First-Order Reactions10.6.1. Concepts Demonstrated10.6.2. Numerical Methods Utilized10.6.3. Problem Statement10.7. Simultaneous Diffusion and Reversible Reaction in a Catalytic Layer10.7.1. Concepts Demonstrated10.7.2. Numerical Methods Utilized10.7.3. Problem StatementMaterial Balances on A and B within the Porous LayerFick’s Law for Binary Diffusion10.7.4. Solution (Suggestions)(a) Implicit Finite Difference (IFD) SolutionEffectiveness Factor CalculationResults(b) Shooting Technique SolutionEffectiveness Factor CalculationSplit Boundary Value SolutionInitial Condition Estimate for NAResults(c) Comparison of Solution Methods10.8. Simultaneous Multicomponent Diffusion of Gases10.8.1. Concepts Demonstrated10.8.2. Numerical Methods Utilized10.8.3. Problem StatementAdditional Information and Data10.8.4. Solution(a) and (b)Optimization of NA and NB10.9. Multicomponent Diffusion of Acetone and Methanol in Air10.9.1. Concepts Demonstrated10.9.2. Numerical Methods Utilized10.9.3. Problem Statement10.10. Multicomponent Diffusion in a Porous Layer Covering a Catalyst10.10.1. Concepts Demonstrated10.10.2. Numerical Methods Utilized10.10.3. Problem Statement10.10.4. Solution (Suggestions)(a) and (b)(c) and (d)10.11. Second-Order Reaction with Diffusion in Liquid Film10.11.1. Concepts Demonstrated10.11.2. Numerical Methods Utilized10.11.3. Problem Statement10.12. Simultaneous Heat and Mass Transfer in Catalyst Particles10.12.1. Concepts Demonstrated10.12.2. Numerical Methods Utilized10.12.3. Problem StatementSimplification of Heat Transfer EquationsNonisothermal Effectiveness FactorCommon Dimensionless Variables10.12.4. Solution (Suggestions)10.13. Unsteady-State Mass Transfer in a Slab10.13.1. Concepts Demonstrated10.13.2. Numerical Methods Utilized10.13.3. Problem StatementThe Numerical Method of LinesBoundary Condition for Exposed SurfaceBoundary Condition for Insulated Surface (No Mass Flux)Initial Concentration Profile10.13.4. Solution (Partial)(a), (b), and (c)10.14. Unsteady-State Diffusion and Reaction in a Semi-Infinite Slab10.14.1. Concepts Demonstrated10.14.2. Numerical Methods Utilized10.14.3. Problem Statement10.14.4. Solution (Partial)10.15. Diffusion and Reaction in a Falling Laminar Liquid Film10.15.1. Concepts Demonstrated10.15.2. Numerical Methods Utilized10.15.3. Problem Statement10.15.4. Solution (Partial)Boundary ConditionsNumerical SolutionReferences