Suppose there is a tank of 100 gallons of a salt mixture with concentration 0.25 pounds per rate of 2 gallons per minute. It is well mixed and then drained out at the rate of 2 gallons per minute. A) Write a differential equation, in terms of only A and t, that models this situation, where A is the amount of salt in tank after t minutes. Include the initial condition. DO NO1T SOLVE THE DE! B) Assume the same conditions as above except that the solution is drained out at the faster rate of 6 gallons per minute. Write a Differential Equation that models this situation DO NOT SOLVE THE DE!
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Please show all work. Suppose there is a tank of 100 gallons of a salt mixture with concentration 0.25 pounds per rate of 2 gallons per minute. It is well mixed and then drained out at the rate of 2...
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 sa...
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...
1) A tank contains 200 gallons of water in which 50 pounds of salt are dissolved. A brine solutio...
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...
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 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 rate of 4 gallons per minute. The mixture is kept uniform by stirring and the well-mixed solution simultancously flows out of the tank at the same rate. Determine the amount of salt in the tank after 10 minutes, when the amount of salt...
Tanks T1 and T2 both initial contains 50 gallons of pure water. Starting at t = 0, water that contains 1 pound of salt per gallon is poured into Ti at a rate of 2 gal/min. The mixture is drained from...
Tanks T1 and T2 both initial contains 50 gallons of pure water. Starting at t = 0, water that contains 1 pound of salt per gallon is poured into Ti at a rate of 2 gal/min. The mixture is drained from T1 at the same rate into the second tank T2. Starting at to = 0, a mixture from another source that contains 2 pounds of salt per gallon is poured into T2 at a rate of 2 gal/min. The...
A tank contains 150 gallons of brine whose salt concentration is 2 pounds per gallon. Three...
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 originally contains 100 gallons of fresh water. Water containing lb of salt per gallon is ...
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 100 gallons of pure water. Beginning at t O, a salt water...
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 200 gallons of liquid. Five gallons of brine per minute flow into the...
A tank contains 200 gallons of liquid. Five gallons of brine per minute flow into the tank, and each gallon of brine contains 2 pounds of salt. Five gallons of brine flow out of the tank per minute. Assume that the tank is kept well stirred. A. Find a differential equation for the number of pounds of salt in the tank. Assuming the tank intially contains 50 pounds of salt, solve this differential equation. B. How much salt is in...
Can you show all the steps please? A salt tank contains 50 lbs of salt dissolved...
Can you show all the steps please?
A salt tank contains 50 lbs of salt dissolved in a 300 gallon tank. A brine mixture with a concentration of 2 lbs of salt per gallon is pumped into the tank at a rate of 3 gallons per minute. The mixture is distributed uniformly in the tank and the mixture is drained at the same rate of 3 gallons per minute input rate of brine 3 gal/min constant 300 gal A Set...
13. A 600 gallon capacity tank initially contains 50 pounds of salt dissolved in 100 gallons...
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...
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...
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 rate of 4 gallons per minute. The mixture is kept uniform by stirring and the well-mixed solution simultancously flows out of the tank at the same rate. Determine the amount of salt in the tank after 10 minutes, when the amount of salt...
Tanks T1 and T2 both initial contains 50 gallons of pure water. Starting at t = 0, water that contains 1 pound of salt per gallon is poured into Ti at a rate of 2 gal/min. The mixture is drained from T1 at the same rate into the second tank T2. Starting at to = 0, a mixture from another source that contains 2 pounds of salt per gallon is poured into T2 at a rate of 2 gal/min. The...
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 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 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...
Can you show all the steps please?
A salt tank contains 50 lbs of salt dissolved in a 300 gallon tank. A brine mixture with a concentration of 2 lbs of salt per gallon is pumped into the tank at a rate of 3 gallons per minute. The mixture is distributed uniformly in the tank and the mixture is drained at the same rate of 3 gallons per minute input rate of brine 3 gal/min constant 300 gal A Set...
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...
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