When people smoke, carbon monoxide is released intothe air. In a room of volume 60 m3

Chapter 11, Problem 26

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When people smoke, carbon monoxide is released intothe air. In a room of volume 60 m3, air containing 5%carbon monoxide is introduced at a rate of 0.002 m3/min.(This means that 5% of the volume of the incoming air iscarbon monoxide.) The carbon monoxide mixes immediatelywith the rest of the air, and the mixture leaves theroom at the same rate as it enters.(a) Write a differential equation for c(t), the concentrationof carbon monoxide at time t, in minutes.(b) Solve the differential equation, assuming there is nocarbon monoxide in the room initially.(c) What happens to the value of c(t) in the long run?

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