The air in a small rectangular room 20 ft by 5 ft by 10 ft is 3% carbon monoxide. Starting at t = 0, air containing 1% carbon monoxide is blown into the room at the rate of 100 ft3 per hour and well mixed air flows out through a vent at the same rate.
(a) Write an initial-value problem for the amount of carbon monoxide in the room over time.
(b) Sketch the phase line corresponding to the initial-value problem in part (a), and determine how much carbon monoxide will be in the room over the long term.
(c) When will the air in the room be 2% carbon monoxide?
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