Medical texts warn that exposure to air containing carbon monoxide for some time can lead to a coma. How long does it take for the concentration of carbon monoxide in the room to reach this level.
Suppose peope start smoking in a room of volume 60m^3 thereby introducing air containing 5% carbon Show more Suppose peope start smoking in a room of volume 60m^3 thereby introducing air containing 5% carbon monoxide at a rate of 0.002 m^3/min into the room (Meaning 5% of the incoming air is carbon monoxide). Assume that the smoky air mixes immediately with the rest of the air and that the mixture leaves the room at the same rate that it enters. [a] Write a differential equation for c(t) the concentration of carbon monoxide at time t in minutes. [b] Solve the differential equation assuming there was no carbon monoxide in the room initially. [c] What happens to the value of c(t) in the long run. [d] Medical texts warn that exposure to air containing carbon monoxide for some time can lead to a coma. How long does it take for the concentration of carbon monoxide in the room to reach this level. Show less
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