A tank with capacity of 500 gal of water originally contains 300 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Let Q(t) lb be the amount of salt in the tank, V(t) gal be the volume of water in the tank. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow. 9000000 (t+300)² Q(t) = t +300 x lb Find the concentration (in pounds per gallon) of salt in the tank when it is on the point of overflowing. (Round your answer to three decimal places.) X lb/gal Enter a number. Find the theoretical limiting concentration if the tank had infinite capacity. 1 lb/gal
A tank with capacity of 500 gal of water originally contains 300 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Let Q(t) lb be the amount of salt in the tank, V(t) gal be the volume of water in the tank. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow. 9000000 (t+300)² Q(t) = t +300 x lb Find the concentration (in pounds per gallon) of salt in the tank when it is on the point of overflowing. (Round your answer to three decimal places.) X lb/gal Enter a number. Find the theoretical limiting concentration if the tank had infinite capacity. 1 lb/gal
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:A tank with capacity of 500 gal of water originally contains 300 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of
3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Let Q(t) lb be the amount of salt in the tank, V(t) gal be the volume of water in the tank.
Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow.
9000000
(t+300) ²
Q(t)
=
t-
+ 300
lb
Find the concentration (in pounds per gallon) of salt in the tank when it is on the point of overflowing. (Round your answer to three decimal places.)
X lb/gal
Enter a number.
Find the theoretical limiting concentration if the tank had infinite capacity.
1
lb/gal
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