Q7/ A conference room that contains 4500 ft of air initially free of carbon monoxide. Starting at time t = 0, respiration air containing 4% carbon monoxide is blown into the room at the rate of 0.3 ft3/min. A ceiling fan keeps the air in the room well circulated and the air leaves the room at the same rate of 0.3 ft³/min. If you know that the governing differential equation of amount of carbon monoxide at any time [y(t)] as shown below: dy 1 12 + dt 15000 1000 a) Find the particular solution of the amount of carbon monoxide within time. b) Find the time when the concentration of carbon monoxide in the room reaches 0.01%.
Q7/ A conference room that contains 4500 ft of air initially free of carbon monoxide. Starting at time t = 0, respiration air containing 4% carbon monoxide is blown into the room at the rate of 0.3 ft3/min. A ceiling fan keeps the air in the room well circulated and the air leaves the room at the same rate of 0.3 ft³/min. If you know that the governing differential equation of amount of carbon monoxide at any time [y(t)] as shown below: dy 1 12 + dt 15000 1000 a) Find the particular solution of the amount of carbon monoxide within time. b) Find the time when the concentration of carbon monoxide in the room reaches 0.01%.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Q7/ A conference room that contains 4500 ft³ of air initially free of carbon monoxide.
Starting at time t = 0, respiration air containing 4% carbon monoxide is blown into the
room at the rate of 0.3 ft3/min. A ceiling fan keeps the air in the room well circulated
and the air leaves the room at the same rate of 0.3 ft³/min. If you know that the
governing differential equation of amount of carbon monoxide at any time [y(t)] as
shown below:
12
dy 1
+
y =
dt 15000 1000
a) Find the particular solution of the amount of carbon monoxide within
time.
b)
Find the time when the concentration of carbon monoxide in the room
reaches 0.01%.
b) t 37.55 min.
Ans. a) y 180 - 180 e15000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd45e1f44-c22c-4bc1-85c2-78e68b827c3b%2Fde175a3d-cbbf-473c-802b-aa4e5242f096%2Fm509alb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q7/ A conference room that contains 4500 ft³ of air initially free of carbon monoxide.
Starting at time t = 0, respiration air containing 4% carbon monoxide is blown into the
room at the rate of 0.3 ft3/min. A ceiling fan keeps the air in the room well circulated
and the air leaves the room at the same rate of 0.3 ft³/min. If you know that the
governing differential equation of amount of carbon monoxide at any time [y(t)] as
shown below:
12
dy 1
+
y =
dt 15000 1000
a) Find the particular solution of the amount of carbon monoxide within
time.
b)
Find the time when the concentration of carbon monoxide in the room
reaches 0.01%.
b) t 37.55 min.
Ans. a) y 180 - 180 e15000
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