13.) A large tank initially contains 1 kilogram (1000 grams) of salt dissolved in 100 liters of water. A salt solution with a concentration of 20 grams per liter flows into the tank at a rate if 3 liters per minute, and a well-stirred mixture flows out at the same rate of 3 liters per minute. Determine the differential equation for the amount A(t) of salt (in grams) in the tank after t minutes. dA ЗА A) dt 3- 100 – 3t dA ЗА B) 60 dt 100 + 3t dA C) ЗА 20 100 dA D) dt ЗА 60 100 E) None of the above answers are correct.
13.) A large tank initially contains 1 kilogram (1000 grams) of salt dissolved in 100 liters of water. A salt solution with a concentration of 20 grams per liter flows into the tank at a rate if 3 liters per minute, and a well-stirred mixture flows out at the same rate of 3 liters per minute. Determine the differential equation for the amount A(t) of salt (in grams) in the tank after t minutes. dA ЗА A) dt 3- 100 – 3t dA ЗА B) 60 dt 100 + 3t dA C) ЗА 20 100 dA D) dt ЗА 60 100 E) None of the above answers are correct.
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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Transcribed Image Text:13.) A large tank initially contains 1 kilogram (1000 grams) of salt dissolved in 100 liters
of water. A salt solution with a concentration of 20 grams per liter flows into the
tank at a rate if 3 liters per minute, and a well-stirred mixture flows out at the same
rate of 3 liters per minute. Determine the differential equation for the amount A(t)
of salt (in grams) in the tank after t minutes.
dA
A)
dt
ЗА
3 -
100 – 31
dA
ЗА
B)
dt
60
100 + 3t
dA
C)
ЗА
20
100
dA
3A
D)
dt
60
100
E) None of the above answers are correct.
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