Question: numerical Methods for Engineers (7th Edition) by steven chapra. I need a solution for problem exercise 12.20 using python. Please provide the solution to this
numerical Methods for Engineers (7th Edition) by steven chapra. I need a solution for problem exercise 12.20 using python.
Please provide the solution to this question in Python
As the name implies, indoor air pollution deals with air contamination in enclosed spaces such as homes, offices, work areas, etc. Suppose that you are designing a ventilation system for a restaurant as shown in Fig. P12.20. The restaurant serving area consists of two square rooms and one elongated room. Room 1 and room 3 have sources of carbon monoxide from smokers and a faulty grill, respectively. Steady-state mass balances can be written for each room. For example, for the smoking section (room 1), the balance can be written as 0 Wsmoker + Qaca ? Qac1 + E13(c3 ? c1) (load) + (inflow) ? (outflow) + (mixing) or substituting the parameters 225c1 ? 25c3 = 2400 Similar balances can be written for the other rooms. (a) Solve for the steady-state concentration of carbon monoxide in each room. (b) Determine what percent of the carbon monoxide in the kids section is due to (i) the smokers, (ii) the grill, and (iii) the air in the intake vents. (c) If the smoker and grill loads are increased to 3000 and 5000 mg/hr, respectively, use the matrix inverse to determine the increase in the concentration in the kids section. (d) How does the concentration in the kids area change if a screen is constructed so that the mixing between areas 2 and 4 is decreased to 5 m3 /hr?
c 150 m3/hr Q 100 m3/hr 25 m3/hr Q, 50 m3/hr c 2 mg/m3 2 (Kids' section) Figure P12.20 Overhead view of rooms in a restaurant. The one-way arrows represent volumetric airflows, whereas the arrows represent diffusive mixing. The smoker and grill loads add carbon monoxide mass to the system but negligible airflow Qa 200 m3/hr c 2 mg/m3 25 m3/hr 3 (Smoking section) twoway Smoker load (2000 mg/hr) Grill load (2000 mg/hr) c 150 m3/hr Q 100 m3/hr 25 m3/hr Q, 50 m3/hr c 2 mg/m3 2 (Kids' section) Figure P12.20 Overhead view of rooms in a restaurant. The one-way arrows represent volumetric airflows, whereas the arrows represent diffusive mixing. The smoker and grill loads add carbon monoxide mass to the system but negligible airflow Qa 200 m3/hr c 2 mg/m3 25 m3/hr 3 (Smoking section) twoway Smoker load (2000 mg/hr) Grill load (2000 mg/hr)
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