Given the following configuration of tanks at steady-state shown below, please illuminate the following: Given Flows...

Transcribed Image Text:

Given the following configuration of tanks at steady-state shown below, please illuminate the following: Given Flows [m³/h] Given Inlet Concentrations U01 = 4; [kg/m³] U04 = 1; U12 = 1; U13 = 0.5; U23 = 1; U24 = 0.75; U25 = 0.2; U30 = 5; U41 = 0.5; U45= 0.3; U53 = 0.4; UoI, COI C01 = 1; C04 = 2; Tank 1 C₁ U41, C4 U₁2, C₁ Up4, C04 Tank 4 C4 U24, C₂ Tank 2 C₂ U13, C₁ U45, C₁ U25, C₂ U23, C₂ Tank 5 C5 U53, C5 Tank 3 C3 U30, C3 Question 1 (1pts): Using the continuity equation, derive the system of linear algebraic equations that govern this system in terms of flows and concentrations. Question 3 (2 pts): Write an m-file in MATLAB that does the following: 1. Defines the known flows and concentrations as variables 2. Contains the correct matrix and vectors derived in part 2 in symbolic form 3. Solves for the concentrations (C₁-C5) 4. Displays a table with appropriate headers for rows and columns, including units Question 2 (0.5 pts): Represent the system of linear algebraic equations developed in part 1 in matrix and vector form. Use the symbols that represent the flows (U) and concentration (C;) in your matrix and vectors. Given the following configuration of tanks at steady-state shown below, please illuminate the following: Given Flows [m³/h] Given Inlet Concentrations U01 = 4; [kg/m³] U04 = 1; U12 = 1; U13 = 0.5; U23 = 1; U24 = 0.75; U25 = 0.2; U30 = 5; U41 = 0.5; U45= 0.3; U53 = 0.4; UoI, COI C01 = 1; C04 = 2; Tank 1 C₁ U41, C4 U₁2, C₁ Up4, C04 Tank 4 C4 U24, C₂ Tank 2 C₂ U13, C₁ U45, C₁ U25, C₂ U23, C₂ Tank 5 C5 U53, C5 Tank 3 C3 U30, C3 Question 1 (1pts): Using the continuity equation, derive the system of linear algebraic equations that govern this system in terms of flows and concentrations. Question 3 (2 pts): Write an m-file in MATLAB that does the following: 1. Defines the known flows and concentrations as variables 2. Contains the correct matrix and vectors derived in part 2 in symbolic form 3. Solves for the concentrations (C₁-C5) 4. Displays a table with appropriate headers for rows and columns, including units Question 2 (0.5 pts): Represent the system of linear algebraic equations developed in part 1 in matrix and vector form. Use the symbols that represent the flows (U) and concentration (C;) in your matrix and vectors.

Answer rating: 100% (QA)

Answer 1 The system of linear algebraic equations governing this system can be derived by applying t... View the full answer