1. (Smoke in the bar. A public bar opens at and is rapidly filled with clients of whom the majority are smokers. The bar is equipped with ventilators which exchange the smoko-air mixture with fresh air. Cigarette sinoke contains 4% carbon monoxide and a prolonged exposure to a concentration of more than 0.012% can be fatal. The bar hins a floor area of 2070 x 15m, and a height of Im. It is estimated that smoke enters the room at a constant rate of 0.0 PROYETU and that the ventilators remove the mixture of smoke and air at 10 times the rate at whield smoke is produced. The problem is to establish a wise time to leave the bar. That is sometime before the comment on or carbon monoxide reaches the lethal limit. (5 Narks)
(a) Starting from a word equation or a comparimental duran formulate the differential equation for the changing concentration of carbon moskide in the bar wer time,
(b) By solving the equation above, stablish a wint time the lethal limit will be reached.
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