Suppose that we are interested in the amount of salt (in kg) at a certain moment in time, denoted by A(t), in a well-mixed, infinitely large tank with 1,250-L of water initially. Further, suppose we have set- up the experiment such that a salt solution containing 12 kg/L flows into the tank at a rate of 12 L/sec. If we allow the solution to flow out at 7 L/sec, then what is the volume of water in the tank at time t? V(t) = sin (a) 150+8 t ∞ a D in litres (DO NOT use commas in your answer) Construct a model for the change of salt in the tank at time t in seconds. [To ensure you are marked correct, please use A to represent the amount of salt in the tank at time t not A(t)]. dA dt
Suppose that we are interested in the amount of salt (in kg) at a certain moment in time, denoted by A(t), in a well-mixed, infinitely large tank with 1,250-L of water initially. Further, suppose we have set- up the experiment such that a salt solution containing 12 kg/L flows into the tank at a rate of 12 L/sec. If we allow the solution to flow out at 7 L/sec, then what is the volume of water in the tank at time t? V(t) = sin (a) 150+8 t ∞ a D in litres (DO NOT use commas in your answer) Construct a model for the change of salt in the tank at time t in seconds. [To ensure you are marked correct, please use A to represent the amount of salt in the tank at time t not A(t)]. dA dt
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Suppose that we are interested in the amount of salt (in kg) at a certain moment in time, denoted by
A(t), in a well-mixed, infinitely large tank with 1,250-L of water initially. Further, suppose we have set-
up the experiment such that a salt solution containing 12 kg/L flows into the tank at a rate of 12 L/sec. If
we allow the solution to flow out at 7 L/sec, then what is the volume of water in the tank at time t?
V(t) =
a
sin (a)
150+ 8 t
∞
a
in litres (DO NOT use commas in your answer)
Construct a model for the change of salt in the tank at time t in seconds.
[To ensure you are marked correct, please use A to represent the amount of salt in the tank at time t
not A(t)].
dA
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa69ddb3b-2ded-43bb-b225-a3cabf9ca2a5%2F467c7b81-e3a4-4a4c-bd4c-480c5999182f%2Fic5u051o_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that we are interested in the amount of salt (in kg) at a certain moment in time, denoted by
A(t), in a well-mixed, infinitely large tank with 1,250-L of water initially. Further, suppose we have set-
up the experiment such that a salt solution containing 12 kg/L flows into the tank at a rate of 12 L/sec. If
we allow the solution to flow out at 7 L/sec, then what is the volume of water in the tank at time t?
V(t) =
a
sin (a)
150+ 8 t
∞
a
in litres (DO NOT use commas in your answer)
Construct a model for the change of salt in the tank at time t in seconds.
[To ensure you are marked correct, please use A to represent the amount of salt in the tank at time t
not A(t)].
dA
dt
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