Question

3. Attempt any two parts; each part is of 7.5 marks. )A public bar opens at 6 p.m. and is rapidly filled with clients of whom smoke rity are smokers. The bar is equipped with ventilators which exchange the made air mixture with fresh air. Cigarette smoke contains 4 % carbon mono anda prolonged exposure to a concentration of more than 0.012% can be fatal. The bar has a floor area of 20 m by 15m, and a height of 4 m. It is estiímated that emoke enters the room at a constant rate of 0.006 m /min, and that the ventilators remove the mixture of smoke and air at 10 times the rate at which smoke is roduced. The problem is to establish a wise time to leàve the bar. That is sometime before the concentration of carbon monoxide reaches the lethal limit. ) Starting from a word equation or a compartmental diagram formulate the differential equation for the changing concentration of carbon monoxide in the bar over time. (ii) By solving the equation above, establish at what time the lethal limit will be reached. Sol. Consult your Text Book. (b) Write down the word equations which describe the movement of the drug between the two compartments in the body, Gl-tract and the bloodstream, when a patient takes a single pill. (i) From the word equations, develop the differential equation system which describes this process, defining all variables and parameters as required. (ii) The constants of proportionality associated with rates at which the drug iffuses from GI-tract into the bloodstream and then is removed from the bloodstream, are 0.72 hour1 and 0.15 hour1 respectively. Suppose initially bloodstream. Determine the level of drug in t hours. the amount of drug in GI-tract is 0.0001 mg and none in the he bloodstream after 6 Sol. Consult your Text Book lor the harvesting model

Answer 1

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