Consider the cylindrical catalyst pellet with dimensions shown in the figure below. The nonporous catalyst surface promotes the hydrogenation ethylene (CH) gas to ethane (CH6) by hydrogen (H). gas according to the reaction CH4 + H 1 CH6. Both

 

Transcribed Image Text:

Consider the cylindrical catalyst pellet with dimensions shown in the figure below. The nonporous catalyst surface promotes the hydrogenation ethylene (C₂H₂) gas to ethane (C₂H6) by hydrogen (H₂). gas according to the reaction C₂H4 + H₂ 1 C₂H6. Both C₂H4 and H₂ gas must diffuse through an inert porous layer surrounding the catalyst surface. which has a mean pore size (dpore) of 1.0 μm (1.0 x 10 cm) and void fraction (e) of 0.40. Let A = ethylene (C₂H4), B = hydrogen (H₂), and C= ethane (C₂H). Assume that the bulk gas surrounding the catalyst pellet is maintained at a constant composition of 4.0 mole% C₂H4, 2.0 mole % C₂H6, and 94 mole% H₂. The process is carried out at 150 C and 1.5 atm total system pressure. Also, at 150 C, the reaction is extremely rapid, so that the concentration of ethylene (A) at the catalyst surface is effectively zero. a. What are the species undergoing mass transfer? b. List at least three relevant assumptions of the mass transfer process. c. Write down the appropriately simplified General Differen- tial Equation for Mass Transfer, in terms of flux NA. What relationships best describe the boundary conditions for mass transfer in the system? d. L = 5.0 cm Sealed Ends Catalyst Porous. Surface Layer 1 r = R₁ r = 0 (0.5 cm) A B C I r = R₁ Bulk Gas (CA = CA,00) 1.5 atm, 150 C 4 mole% C₂H4 (A) 94 mole% H₂ (B) 2 mole% C₂H, (C) Consider the cylindrical catalyst pellet with dimensions shown in the figure below. The nonporous catalyst surface promotes the hydrogenation ethylene (C₂H₂) gas to ethane (C₂H6) by hydrogen (H₂). gas according to the reaction C₂H4 + H₂ 1 C₂H6. Both C₂H4 and H₂ gas must diffuse through an inert porous layer surrounding the catalyst surface. which has a mean pore size (dpore) of 1.0 μm (1.0 x 10 cm) and void fraction (e) of 0.40. Let A = ethylene (C₂H4), B = hydrogen (H₂), and C= ethane (C₂H). Assume that the bulk gas surrounding the catalyst pellet is maintained at a constant composition of 4.0 mole% C₂H4, 2.0 mole % C₂H6, and 94 mole% H₂. The process is carried out at 150 C and 1.5 atm total system pressure. Also, at 150 C, the reaction is extremely rapid, so that the concentration of ethylene (A) at the catalyst surface is effectively zero. a. What are the species undergoing mass transfer? b. List at least three relevant assumptions of the mass transfer process. c. Write down the appropriately simplified General Differen- tial Equation for Mass Transfer, in terms of flux NA. What relationships best describe the boundary conditions for mass transfer in the system? d. L = 5.0 cm Sealed Ends Catalyst Porous. Surface Layer 1 r = R₁ r = 0 (0.5 cm) A B C I r = R₁ Bulk Gas (CA = CA,00) 1.5 atm, 150 C 4 mole% C₂H4 (A) 94 mole% H₂ (B) 2 mole% C₂H, (C) Consider the cylindrical catalyst pellet with dimensions shown in the figure below. The nonporous catalyst surface promotes the hydrogenation ethylene (C₂H₂) gas to ethane (C₂H6) by hydrogen (H₂). gas according to the reaction C₂H4 + H₂ 1 C₂H6. Both C₂H4 and H₂ gas must diffuse through an inert porous layer surrounding the catalyst surface. which has a mean pore size (dpore) of 1.0 μm (1.0 x 10 cm) and void fraction (e) of 0.40. Let A = ethylene (C₂H4), B = hydrogen (H₂), and C= ethane (C₂H). Assume that the bulk gas surrounding the catalyst pellet is maintained at a constant composition of 4.0 mole% C₂H4, 2.0 mole % C₂H6, and 94 mole% H₂. The process is carried out at 150 C and 1.5 atm total system pressure. Also, at 150 C, the reaction is extremely rapid, so that the concentration of ethylene (A) at the catalyst surface is effectively zero. a. What are the species undergoing mass transfer? b. List at least three relevant assumptions of the mass transfer process. c. Write down the appropriately simplified General Differen- tial Equation for Mass Transfer, in terms of flux NA. What relationships best describe the boundary conditions for mass transfer in the system? d. L = 5.0 cm Sealed Ends Catalyst Porous. Surface Layer 1 r = R₁ r = 0 (0.5 cm) A B C I r = R₁ Bulk Gas (CA = CA,00) 1.5 atm, 150 C 4 mole% C₂H4 (A) 94 mole% H₂ (B) 2 mole% C₂H, (C) Consider the cylindrical catalyst pellet with dimensions shown in the figure below. The nonporous catalyst surface promotes the hydrogenation ethylene (C₂H₂) gas to ethane (C₂H6) by hydrogen (H₂). gas according to the reaction C₂H4 + H₂ 1 C₂H6. Both C₂H4 and H₂ gas must diffuse through an inert porous layer surrounding the catalyst surface. which has a mean pore size (dpore) of 1.0 μm (1.0 x 10 cm) and void fraction (e) of 0.40. Let A = ethylene (C₂H4), B = hydrogen (H₂), and C= ethane (C₂H). Assume that the bulk gas surrounding the catalyst pellet is maintained at a constant composition of 4.0 mole% C₂H4, 2.0 mole % C₂H6, and 94 mole% H₂. The process is carried out at 150 C and 1.5 atm total system pressure. Also, at 150 C, the reaction is extremely rapid, so that the concentration of ethylene (A) at the catalyst surface is effectively zero. a. What are the species undergoing mass transfer? b. List at least three relevant assumptions of the mass transfer process. c. Write down the appropriately simplified General Differen- tial Equation for Mass Transfer, in terms of flux NA. What relationships best describe the boundary conditions for mass transfer in the system? d. L = 5.0 cm Sealed Ends Catalyst Porous. Surface Layer 1 r = R₁ r = 0 (0.5 cm) A B C I r = R₁ Bulk Gas (CA = CA,00) 1.5 atm, 150 C 4 mole% C₂H4 (A) 94 mole% H₂ (B) 2 mole% C₂H, (C) Consider the cylindrical catalyst pellet with dimensions shown in the figure below. The nonporous catalyst surface promotes the hydrogenation ethylene (C₂H₂) gas to ethane (C₂H6) by hydrogen (H₂). gas according to the reaction C₂H4 + H₂ 1 C₂H6. Both C₂H4 and H₂ gas must diffuse through an inert porous layer surrounding the catalyst surface. which has a mean pore size (dpore) of 1.0 μm (1.0 x 10 cm) and void fraction (e) of 0.40. Let A = ethylene (C₂H4), B = hydrogen (H₂), and C= ethane (C₂H). Assume that the bulk gas surrounding the catalyst pellet is maintained at a constant composition of 4.0 mole% C₂H4, 2.0 mole % C₂H6, and 94 mole% H₂. The process is carried out at 150 C and 1.5 atm total system pressure. Also, at 150 C, the reaction is extremely rapid, so that the concentration of ethylene (A) at the catalyst surface is effectively zero. a. What are the species undergoing mass transfer? b. List at least three relevant assumptions of the mass transfer process. c. Write down the appropriately simplified General Differen- tial Equation for Mass Transfer, in terms of flux NA. What relationships best describe the boundary conditions for mass transfer in the system? d. L = 5.0 cm Sealed Ends Catalyst Porous. Surface Layer 1 r = R₁ r = 0 (0.5 cm) A B C I r = R₁ Bulk Gas (CA = CA,00) 1.5 atm, 150 C 4 mole% C₂H4 (A) 94 mole% H₂ (B) 2 mole% C₂H, (C) Consider the cylindrical catalyst pellet with dimensions shown in the figure below. The nonporous catalyst surface promotes the hydrogenation ethylene (C₂H₂) gas to ethane (C₂H6) by hydrogen (H₂). gas according to the reaction C₂H4 + H₂ 1 C₂H6. Both C₂H4 and H₂ gas must diffuse through an inert porous layer surrounding the catalyst surface. which has a mean pore size (dpore) of 1.0 μm (1.0 x 10 cm) and void fraction (e) of 0.40. Let A = ethylene (C₂H4), B = hydrogen (H₂), and C= ethane (C₂H). Assume that the bulk gas surrounding the catalyst pellet is maintained at a constant composition of 4.0 mole% C₂H4, 2.0 mole % C₂H6, and 94 mole% H₂. The process is carried out at 150 C and 1.5 atm total system pressure. Also, at 150 C, the reaction is extremely rapid, so that the concentration of ethylene (A) at the catalyst surface is effectively zero. a. What are the species undergoing mass transfer? b. List at least three relevant assumptions of the mass transfer process. c. Write down the appropriately simplified General Differen- tial Equation for Mass Transfer, in terms of flux NA. What relationships best describe the boundary conditions for mass transfer in the system? d. L = 5.0 cm Sealed Ends Catalyst Porous. Surface Layer 1 r = R₁ r = 0 (0.5 cm) A B C I r = R₁ Bulk Gas (CA = CA,00) 1.5 atm, 150 C 4 mole% C₂H4 (A) 94 mole% H₂ (B) 2 mole% C₂H, (C) Consider the cylindrical catalyst pellet with dimensions shown in the figure below. The nonporous catalyst surface promotes the hydrogenation ethylene (C₂H₂) gas to ethane (C₂H6) by hydrogen (H₂). gas according to the reaction C₂H4 + H₂ 1 C₂H6. Both C₂H4 and H₂ gas must diffuse through an inert porous layer surrounding the catalyst surface. which has a mean pore size (dpore) of 1.0 μm (1.0 x 10 cm) and void fraction (e) of 0.40. Let A = ethylene (C₂H4), B = hydrogen (H₂), and C= ethane (C₂H). Assume that the bulk gas surrounding the catalyst pellet is maintained at a constant composition of 4.0 mole% C₂H4, 2.0 mole % C₂H6, and 94 mole% H₂. The process is carried out at 150 C and 1.5 atm total system pressure. Also, at 150 C, the reaction is extremely rapid, so that the concentration of ethylene (A) at the catalyst surface is effectively zero. a. What are the species undergoing mass transfer? b. List at least three relevant assumptions of the mass transfer process. c. Write down the appropriately simplified General Differen- tial Equation for Mass Transfer, in terms of flux NA. What relationships best describe the boundary conditions for mass transfer in the system? d. L = 5.0 cm Sealed Ends Catalyst Porous. Surface Layer 1 r = R₁ r = 0 (0.5 cm) A B C I r = R₁ Bulk Gas (CA = CA,00) 1.5 atm, 150 C 4 mole% C₂H4 (A) 94 mole% H₂ (B) 2 mole% C₂H, (C)

• Expert Answer

a The species undergoing mass transfer are ethylene C2H4 hydrogen H2 and ethane C2H6 b Relevant assu View the full answer