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2. A tank initially contains 100 gallons of salt solution in which 20 pounds of salt is dissolved. Starting at time 0, a solution containing 3 pounds of salt per gallon flows into the tank at a...
2. A tank contains 100 gallons of pure water. Beginning at t O, a salt water solution containing 0.2 pounds of salt per gallon is pumped into the tank at a rate of 3 gallons per minute. At the same time, a drain is opened at the bottom of the tank which allows the mixture to leave the tank at a rate 3 gallons per minute. Assume the solution is kept perfectly mixed. (a) What will be concentration of salt...
A tank contains 150 gallons of brine whose salt concentration is 2 pounds per gallon. Three gallons of brine whose salt concentration is 4 pounds per gallon flow into the tank each minute. At the same time 3 gallons of the mixture flows out each minute. If the mixture is kept uniform by constant stirring, find the salt content of the brine as a function of the time t. Approximately how long will it take until there are 240 pounds...
A tank initially contains 500 gallons of water in which 40 pounds of salt is initially dissolved in the water. Brine (a water-salt mixture) containing 0.4 pounds of salt per gallon flows into the tank at the rate of 5 gal/min, and the mixture (which is assumed to be perfectly mixed) flows out of the tank at the same rate of 5 gal/min. Let y(t) be the amount of salt (in pounds) in the tank at time t. a) Set up...
13. A 600 gallon capacity tank initially contains 50 pounds of salt dissolved in 100 gallons of water. Water containing 2 pounds of salt per gallon enters the tank at a rate of 6 gallons per minute (assume the salt is evenly distributed throughout the water in the tank). Water is drained from the tank at a rate 4 gallons per minute. How many pounds (rounded to 1 decimal place) of salt will be in the tank when the tank...
2. A tank contains 100 gallons of pure water. Beginning at t O, a salt water solution containing 0.2 pounds of salt per gallon is pumped into the tank at a rate of 3 gallons per minute. At the same time, a drain is opened at the bottom of the tank which allows the mixture to leave the tank at a rate 3 gallons per minute. Assume the solution is kept perfectly mixed. (a) What will be concentration of salt...
A 120-gallon tank initially contains 90 pounds of salt dissolved in 90 gallons of water. Brine containing 2 1b/gal of salt flows into the tank at the rate of 4 cal/min, and the well-stirred mixture flows out of the tank at the rate of 3 gal/min. How much salt does the tank contain when it is full? (At 30 minutes, there is approximately 202 pounds of salt present in the tank.)
A tank originally contains 100 gallons of fresh water. Water containing lb of salt per gallon is poured into the tank at a rate of 2 gallons per minute, and the mixture is allowed to leave at the same rate. After 10 minutes the salt water solution flowing into the tank suddenly switches to fresh water flowing in at a rate of 2 gallons per minute, while the solution continues to leave the tank at the same rate (a) Write...
2. A tank contains a 100 gallons of pure water. Brine containing pound salt per gallon enters the tank at thratof 2 Let x(t) represent the amount of salt in the tank after t min. and the well-mixed solution flows out at the rate of 4ツ· a. Find the differential equation which relates( and , the initial condition and the domain of x() dr b. Find the particular solution of this equation. c. What is the most amount of salt...
please solve all three questions, will upvote thank you 1) A tank contains 200 gallons of water in which 50 pounds of salt are dissolved. A brine solution containing 4 pounds of salt per gallon is pumped into the tank at the rate of 6 gallons per minute. The mixture is stirred well and is pumped out of the tank at the same rate. Let A(t) represent the amount of salt in the tank at time t a) Write down...
15. Consider a two tank system pictured below. Suppose tank A contains 100 gallons of water in which 120 pounds of salt are dissolved initially. Suppose tank B has 100 gallons of water in which zero pounds of salt are dissolved initially. Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchanged between the two tanks and the liquid pumped out of tank B are assumed to be well mixed. How many pounds...