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. ЗА 100 – 3t ЗА dA A) dA B) P dA C) 60 100 + 3t 3A 20 100 D) 4- dA 3A 60 100 E) None of the above answers are correct. 14.) For the situation described in the previous problem, determine the amount of salt in the tank after 20 minutes (round to the nearest integer mnumber of grams). C) 1259 grams B) 1451 grams E) None of the above answers are correct. A) 1672 grams D) 178 grams
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. ЗА 100 – 3t ЗА dA A) dA B) P dA C) 60 100 + 3t 3A 20 100 D) 4- dA 3A 60 100 E) None of the above answers are correct. 14.) For the situation described in the previous problem, determine the amount of salt in the tank after 20 minutes (round to the nearest integer mnumber of grams). C) 1259 grams B) 1451 grams E) None of the above answers are correct. A) 1672 grams D) 178 grams
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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Please provide me solution of question 14 thanks only question 14 is require thanks
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
ЗА
A)
3
dt
100 – 3t
dA
ЗА
B)
- 60
dt
100 + 31
dA
C)
ЗА
20
100
dA
ЗА
- 60 –
100
E) None of the above answers are correct.
14.) For the situation described in the previous problem, determine the amount of salt in
the tank after 20 minutes (round to the nearest integer number of grams).
C) 1259 grams
A) 1672 grams
E) None of the above answers are correct.
B) 1451 grams
D) 178 grams
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