A tank initially contains 60 gallons of pure water. Brine containing 1 lb of salt per gallon enters the tank at 2 gal/min, and the perfectly mixed solution leaves the tank at 3 gal/min; thus the tank is empty after exactly 1 h. (a) Find the amount of salt in the tank after 20 minutes. (b) What is the maximum amount of salt ever in the tank?

A tank initially contains 60 gallons of pure water. Brine containing 1 lb of salt per gallon enters the tank at 2 gal/min, and the perfectly mixed solution leaves the tank at 3 gal/min; thus the tank is empty after exactly 1 h. (a) Find the amount of salt in the tank after 20 minutes. (b) What is the maximum amount of salt ever in the tank?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: there is a (20 louge tauk. it contains liters of water. Kennith decides to disolve 16 grams of salt…

A: A large tank contains 120 liters of water in which 16 grams of salt is dissolved. Brine containing…

Q: 8. A tank initially contains 500 L of pure water. Two streams of brine enter the tank: one with a…

Q: A tank initially contains 200 liters of fresh water. Brine containing 2.5 N/liter of dissolved salt…

Q: A large tank is filled to capacity with 600 gallons of pure water. Brine containing 5 pounds of salt…

Q: 2) A tank with capacity of 500 gallons initially holds 200 gallons of salt water containing 100 lb…

A: The capacity of the tank is 500 gallons initially holds 200 gallons of salt water containing 100 lb…

Q: A tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the…

A: According to the given information, let x(t) denote the amount of salt in the tank at time t, t in…

Q: A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is…

A: Given: The tank originally contains 100 gal of fresh water. Water containing 12=0.5 lb of sat per…

Q: -n+1 Xn 4 Xn = A Lyn -1 6 . Pn+1 –1 by using the method of elimination. II

A: Given:- xn+1yn+1=Axnyn=24-16xnyn

Q: 7.65. A tank initially holds 10 gal of fresh water. At 1=0, a brine solution containing lb of salt…

A: Let the amount of salt in tank at any given time t will be given as xt. The rate of change of the…

Q: ... A large tank contains 120 gallons of pure water. Brine containing 1.5 lbs. of salt per gallon of…

A: Given : 120 gallons of water . Brine concerntration is 1.5 lbs Entering rate = 4 gal/ min and…

Q: A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt…

A: Tank has been filled to capacity with 300 gallons of pure water. Incoming rate of brine solution is…

Q: A tank contains 1000 liters (L) of a solution consisting of 154 kg of salt dissolved in water . Pure…

Q: dx A 400-gallon tank initially contains 100 gal of brine containing 50 lb salt. Brine containing 1…

Q: hose is leaking into a pool at a rate of 2 ½ gallons in 3 minutes. How long will it take for 7 ½…

A: Leakage of 2 ½ gallons in 3 minutes Leakage of 7 ½ gallons in x minutes.

Q: A tank initially contains 80 gal of pure water. Brine containing 3 lb of salt per gallon enters the…

A: Given a condition wherein, " A tank initially contains 80 gal of pure water. Brine containing 3lbof…

Q: 15. Water is draining from a small cylindrical tank into a larger one below it. The small…

Q: large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is dissolved.…

Q: A tank contains 200 liters of brine with 20 kg of salt in the solution. Bri containing 0.25 kg per…

Question

(a) Find the amount of salt in the tank after 20 minutes.
(b) What is the maximum amount of salt ever in the tank?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8 Conclusion

Trending now

This is a popular solution!

Step by step

Solved in 8 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A large, well stirred tank with 500 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the tank at a rate of 5 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour? How long will it take for the tank to contain 6% alcohol? Sketch your solution. What does 6% represent, relative to the solution, in mathematical terms?
37 2000 liter tank is full of a chemical solution with concentration 50g/L and is being drained at a rate of 10L/min. An inlet pipe simultaneously fills the tank at a rate of 5L/min with fresh water until it is half full, and then fills the tank at 20L/min with a concentration of 20g/L. Find the concentration when the tank is once again full.
Solve the problem. Electrical systems are governed by Ohm's law, which states the V = IR, where V = voltage, I = current, and R = resistance. If the current in an electrical system is decreasing at a rate of 3 A/s while the voltage remains constant at 30 V, at what rate is the resistance increasing when the current is 52 A?
A large tank is filled to capacity with 600 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is pumped out at the same rate. Find the number A(t) of pounds salt in the tank at time t.
Advanced Math A bipolar alkaline water electrolyzer stack module comprises 160 electrolytic cells that have an effective cell area of 2 m2. At nominal operation, the current density for a single cell of the electrolyzer stack is 0.40 A/cm2. The nominal operating temperature of the water electrolyzer stack is 70 oC and pressure 1 bar. The voltage over a single electrolytic cell is 1.96 V at nominal load and 1.78 V at 50% of nominal load. The Faraday efficiency of the water electrolyzer stack is 95% at nominal current density, but at 50% of nominal load, the Faraday efficiency decreases to 80%. (Give your answer to at least three significant digits.) Calculate the nominal stack voltage: Answer in V Calculate the nominal stack current: Answer in A Calculate the nominal power on the water electrolyzer stack: Answe in kW
A tank contains 3,000 L of brine with 12 kg of dissolved salt. Pure water enters the tank at a rate of 30 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? y = kg (b) How much salt is in the tank after 20 minutes? (Round your answer to one decimal place.) y =
A tank contains 7070 kg of salt and 10001000 L of water. A solution of a concentration 0.035 kg of salt per liter enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the same rate.(a) What is the concentration of our solution in the tank initially?(b) Find the amount of salt in the tank after 2.5 hours.(c) Find the concentration of salt in the solution in the tank as time approaches infinity.