Tank A Tank B 500 / hr 3. What is the amount of salt (in kg) in Tank A after 2 hours?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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For the next three questions, consider the two-tank system shown below. Tank A contains 300 liters of water in which 100 kg of salt has been
dissolved. Tank B, on the other hand, contains 300 liters of pure water. Pure water is pumped into Tank A at a rate of 500 liters per hour, and
brine is pumped into Tank B from Tank A at the rate of 500 liters per hour. Brine is also drained at a rate 500 liters of brine per hour from
Tank B. All brine mixtures are well-stirred. Let y4(t)and yB(t) correspond to the salt content in Tank A and Tank B, respectively.
500 l/hr
300 l
300 l
500 l/hr
Tank A
Tank B
500 /hr
3. What is the amount of salt (in kg) in Tank A after 2 hours?
almost zero +
3.57
15.46
questions, consider the spring-mass system
med to be practically zero.
11.89
almost zero
Transcribed Image Text:For the next three questions, consider the two-tank system shown below. Tank A contains 300 liters of water in which 100 kg of salt has been dissolved. Tank B, on the other hand, contains 300 liters of pure water. Pure water is pumped into Tank A at a rate of 500 liters per hour, and brine is pumped into Tank B from Tank A at the rate of 500 liters per hour. Brine is also drained at a rate 500 liters of brine per hour from Tank B. All brine mixtures are well-stirred. Let y4(t)and yB(t) correspond to the salt content in Tank A and Tank B, respectively. 500 l/hr 300 l 300 l 500 l/hr Tank A Tank B 500 /hr 3. What is the amount of salt (in kg) in Tank A after 2 hours? almost zero + 3.57 15.46 questions, consider the spring-mass system med to be practically zero. 11.89 almost zero
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