Indoor air pollution deals with air contamination in enclosed spaces such as homes, offices, and work...

 

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Indoor air pollution deals with air contamination in enclosed spaces such as homes, offices, and work areas. An engineer is studying the ventilation system for a restaurant located adjacent to a freeway. As depicted in the figure below, the restaurant serving area consists of two rooms, room 1: smoking section, room 2: kids' section, and one elongated room with sections 3 and 4. The engineer must write steady-state mass balances for each room and solve the resulting linear algebraic equations for the concentration of carbon monoxide in each room (C1, C2, C3, and C4). Steady-state mass balances can be written for each room. For example, the balance for the smoking section (room 1) is: Wsmoker + Qaca Qac1 + E13 (c3c1) = 0 (Load) + (Inflow) - (Outflow) + (Mixing) = 0 After doing some math work, the mass balance equations can be organized as follows: (Qa+E13) c1 - E13 C3 = Wsmoker + Qaca (Qc+ E24) C2-(QaQd+ E24) C4 = Qb Cb - (Qa+E13) c1 + (E13+ E34 + Qa) C3-E34 C4 = Wgrill - E24 C2 - (Qa+ E34) c3 + (E24 + E34+ Qa) c4 = 0 Given the following data: E13 = 25 m³/hr E24 = 25 m³/hr E34= 50 m³/hr Wsmoker = 600 mg/hr W grill = 2500 mg/hr Qa= 200 m³/hr Qb = 50 m³/hr Qc = 150 m³/hr Qd = 100 m³/hr Ca = 2 mg/m³ cb = 2 mg/m³ Q-150 m³/hr4 Q = 50 m³/hr €₁-2 mg/m³ 2.-200 m³/hr c, = 2 mg/m³ Smoker load 2 (Kids' section) (Smoking section) Q-100 m³/hr4 25 m³/hr 25 m³/hr 50 m³/hr 3 Grill load Use Mathcad to solve the system of linear equations for the concentration of carbon monoxide in each room (C1, C2, C3, and c4). Use the inverse matrix method and any other method of your choice. Indoor air pollution deals with air contamination in enclosed spaces such as homes, offices, and work areas. An engineer is studying the ventilation system for a restaurant located adjacent to a freeway. As depicted in the figure below, the restaurant serving area consists of two rooms, room 1: smoking section, room 2: kids' section, and one elongated room with sections 3 and 4. The engineer must write steady-state mass balances for each room and solve the resulting linear algebraic equations for the concentration of carbon monoxide in each room (C1, C2, C3, and C4). Steady-state mass balances can be written for each room. For example, the balance for the smoking section (room 1) is: Wsmoker + Qaca Qac1 + E13 (c3c1) = 0 (Load) + (Inflow) - (Outflow) + (Mixing) = 0 After doing some math work, the mass balance equations can be organized as follows: (Qa+E13) c1 - E13 C3 = Wsmoker + Qaca (Qc+ E24) C2-(QaQd+ E24) C4 = Qb Cb - (Qa+E13) c1 + (E13+ E34 + Qa) C3-E34 C4 = Wgrill - E24 C2 - (Qa+ E34) c3 + (E24 + E34+ Qa) c4 = 0 Given the following data: E13 = 25 m³/hr E24 = 25 m³/hr E34= 50 m³/hr Wsmoker = 600 mg/hr W grill = 2500 mg/hr Qa= 200 m³/hr Qb = 50 m³/hr Qc = 150 m³/hr Qd = 100 m³/hr Ca = 2 mg/m³ cb = 2 mg/m³ Q-150 m³/hr4 Q = 50 m³/hr €₁-2 mg/m³ 2.-200 m³/hr c, = 2 mg/m³ Smoker load 2 (Kids' section) (Smoking section) Q-100 m³/hr4 25 m³/hr 25 m³/hr 50 m³/hr 3 Grill load Use Mathcad to solve the system of linear equations for the concentration of carbon monoxide in each room (C1, C2, C3, and c4). Use the inverse matrix method and any other method of your choice.