Answer Part 1 of the DE problem Scott Shazam's Great Big Bagel Factory deals with large quantities of hot salt water. In the factory, a 50-gallontank initially contains 10 gallons of fresh water when a solution containing 1 lb of salt per gallon begins topour into the tank at a rate of 4 gal/min. Simultaneously, well-mixed salt solution begins leaving the tank (forthe bagel bath) at a rate of 2 gal/min. You may assume that the solution remains perfectly mixed and that thevolume of the salt itself is negligible.Set up (but do not solve) an initial value problem modeling this situation.Reach: Set up a system of initial value problems corresponding to the following diagram, where A and B arevery large tanks. (You do not need to solve the system.)Input concentration: 2 Ib/gal-2 gal/min-B-2 gal/minAInitial Volume: 87 galInitial Volume: 5 galInitial Salt: 9 lbsInitial Salt: O Ibs1 gal/min-3 gal/min-

We will find rate of change of amount of salt and use it to form a differential equation .

Answered: Scott Shazam's Great Big Bagel Factory…

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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Similar questions

There is a large mixing tank that initially holds 120 gallons of brine (water in which salt has been dissolved). Another brine solution is pumped into the tank at a rate of 3 gallons per minute. The tank keeps the mixture well-stirred, and the solution is pumped out of the tank at the same rate of 3 gallons per minute. If the solution being pumped into the tank has a salt concentration of 12 lb/gal, and the tank initially contained 60 lb of salt, find how much salt will be in the tank after 30 minutes. Round to the nearest pound.
A solution with 35% ammonia is added at a rate of 5 liters per minute to a vat that initially contains 100 liters of pure water. The mixed solution is drained at 3 liters per minute. At what time will the solution contain 10% ammonia?
A tank contains 100 L of water. A salt solution containing 2 kg of salt per liter flow in at the rate of 3 liters per minute and the well stirred mixture flows out at the same rate. When will the tank have100 kg of salt?
A container that has 5 L of water with 1 kg salt dissolved is to be filled by pure water at a rate of 0.5 L/min. The mixture is kept homogeneous by stirring and the solution is being pumped out at twice the rate of input. When will the remaining salt in the container be a quarter of its original amount?
A tank with a capacity of 400 gal originally contains 150 gal of water with 25 lb of salt in solution.Water containing 2 lb of salt per gallon is entering at a rate of 10 gal/min,and the mixture is allowed to flow out of the tank at a rate of 5 gal/min. Find the amount of salt in the tank after 2 hrs.
A tank with a capacity of 25 L originally contains 15 L of brine with a concentration of 5 g/L of salt. Water containing 1 g/L of salt is entering at a rate of 5 L/min, and the mixture is allowed to flow out of the tank at a rate of 4 L/min. Find the concentration (in g/L) of salt in the tank when it is on the point of overflowing.

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