Problem: A tank contains 20 kg of salt dissolved in 5000 L of water. Brine that contains 0.03 kg of salt per liter of water enters the tank at a rate of 25 L/min. The solution is kept thoroughly mixed. If the rate of outflow is 30 L/min, what is the amount of salt dissolved in the well-mixed solution at t minutes? (A) There is no correct answer from the given options. B Q(t) = m(1000- t). (C) Q(t) = -—— (1000-t) — - Ⓒ 18 1017 ℗ Q(t) = -—- (1000-1). (E 180 10006 In(1000-t) 6 Q(t) = (1000-t) - 20( 1000 – ¿) 6 180 10006 (1000– t) 6 (1000-t) 6
Problem: A tank contains 20 kg of salt dissolved in 5000 L of water. Brine that contains 0.03 kg of salt per liter of water enters the tank at a rate of 25 L/min. The solution is kept thoroughly mixed. If the rate of outflow is 30 L/min, what is the amount of salt dissolved in the well-mixed solution at t minutes? (A) There is no correct answer from the given options. B Q(t) = m(1000- t). (C) Q(t) = -—— (1000-t) — - Ⓒ 18 1017 ℗ Q(t) = -—- (1000-1). (E 180 10006 In(1000-t) 6 Q(t) = (1000-t) - 20( 1000 – ¿) 6 180 10006 (1000– t) 6 (1000-t) 6
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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![Problem: A tank contains 20 kg of salt dissolved in 5000 L of water. Brine that contains 0.03 kg of salt per liter of water enters the
tank at a rate of 25 L/min. The solution is kept thoroughly mixed.
If the rate of outflow is 30 L/min, what is the amount of salt dissolved in the well-mixed solution at t minutes?
(A) There is no correct answer from the given options.
B
Q(t) = m(1000- t).
(C) Q(t) = -—— (1000-t) —
-
Ⓒ
18
1017
℗ Q(t) = -—- (1000-1).
(E
180
10006
In(1000-t) 6
Q(t) = (1000-t) - 20( 1000 – ¿) 6
180
10006
(1000– t) 6
(1000-t) 6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e6fad4a-ed9c-46b6-8077-ba2cbecc9827%2Fcc801087-1125-4f14-8772-3d09c695d34d%2Fk1oj19c_processed.png&w=3840&q=75)
Transcribed Image Text:Problem: A tank contains 20 kg of salt dissolved in 5000 L of water. Brine that contains 0.03 kg of salt per liter of water enters the
tank at a rate of 25 L/min. The solution is kept thoroughly mixed.
If the rate of outflow is 30 L/min, what is the amount of salt dissolved in the well-mixed solution at t minutes?
(A) There is no correct answer from the given options.
B
Q(t) = m(1000- t).
(C) Q(t) = -—— (1000-t) —
-
Ⓒ
18
1017
℗ Q(t) = -—- (1000-1).
(E
180
10006
In(1000-t) 6
Q(t) = (1000-t) - 20( 1000 – ¿) 6
180
10006
(1000– t) 6
(1000-t) 6
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