DIFFERENTIAL EQUATION: A year-end party is being held in a room that contains 30 m3 of air which is originally free of carbon monoxide. Beginning at time t = 0, several people start smoking cigarettes. Smoke containing 6 percent carbon monoxide is introduced into the room at the rate of 0.008 m3/minute, and the well-circulated mixture leaves at the rate of 0.016 m3/minute through a medium-sized open window. A sustained carbon monoxide concentrations above 200 ppm (parts per million) may cause harm. Understanding this situation, An person decides to leave this party. How much time is left, after the start of the party, that will still allow the person to safely exit the party?
DIFFERENTIAL EQUATION:
A year-end party is being held in a room that contains 30 m3 of air which is originally free of carbon monoxide. Beginning at time t = 0, several people start smoking cigarettes. Smoke containing 6 percent carbon monoxide is introduced into the room at the rate of 0.008 m3/minute, and the well-circulated mixture leaves at the rate of 0.016 m3/minute through a medium-sized open window. A sustained carbon monoxide concentrations above 200 ppm (parts per million) may cause harm. Understanding this situation, An person decides to leave this party. How much time is left, after the start of the party, that will still allow the person to safely exit the party?
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