A room with a volume of 5000 ft3 is full of air which contains 2% (CO). Pure air containing no (CO) is pumped into the room at the rate of 200 cubic feet per minute, and the well-mixed air is vented from the room at the same rate. a. Find the equation that models the amount of (CO), x(t), in ft3, which is in the room, as a function of time. b. How long will it take for the concentration of (CO) in the room to reach 0.01%?
A room with a volume of 5000 ft3 is full of air which contains 2% (CO). Pure air containing no (CO) is pumped into the room at the rate of 200 cubic feet per minute, and the well-mixed air is vented from the room at the same rate. a. Find the equation that models the amount of (CO), x(t), in ft3, which is in the room, as a function of time. b. How long will it take for the concentration of (CO) in the room to reach 0.01%?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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1. A room with a volume of 5000 ft3 is full of air which contains 2% (CO). Pure air containing no (CO) is pumped into the room at the rate of 200 cubic feet per minute, and the well-mixed air is vented from the room at the same rate.
a. Find the equation that models the amount of (CO), x(t), in ft3, which is in the room, as a function of time.
b. How long will it take for the concentration of (CO) in the room to reach 0.01%?
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