A conference room has a volume of 4500 cubic feet. Initially, the air in the room has no Carbon Monoxide. Starting at t = 0, cigarette smoke containing 4% Carbon Monoxide enters the room at a rate of 0.3 ft3/min. A ceiling fan keeps the air well mixed, and air leaves the room at a rate of 0.3 ft3/min. How long before the CO concentration in the room is 0.01%? Hint: y(t) is cubic feet of CO in the room. When is y/4500 = 0.0001?
A conference room has a volume of 4500 cubic feet. Initially, the air in the room has no Carbon Monoxide. Starting at t = 0, cigarette smoke containing 4% Carbon Monoxide enters the room at a rate of 0.3 ft3/min. A ceiling fan keeps the air well mixed, and air leaves the room at a rate of 0.3 ft3/min. How long before the CO concentration in the room is 0.01%? Hint: y(t) is cubic feet of CO in the room. When is y/4500 = 0.0001?
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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A conference room has a volume of 4500 cubic feet. Initially, the air in the room has no Carbon Monoxide. Starting at t = 0, cigarette smoke containing 4% Carbon Monoxide enters the room at a rate of 0.3 ft3/min. A ceiling fan keeps the air well mixed, and air leaves the room at a rate of 0.3 ft3/min. How long before the CO concentration in the room is 0.01%? Hint: y(t) is cubic feet of CO in the room. When is y/4500 = 0.0001?
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