The air in a room with volume 180 m3 contains 0.35% carbon dioxide initially. Fresher air with only 0.05% carbon dioxide flows into the room at a rate of 2 m3/min and the mixed air flows out at the same rate.
Find the percentage of carbon dioxide in the room as a function of time t (in minutes).
What happens with the percentage of carbon dioxide in the room in the long run?
lim t → ∞ p(t) = [removed] %