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solution containing 1 lb of salt. At t = 0 another solution 2 at the rate...
2. (4 points) 100 lb of salt is dissolved in a tank containing 300 gal of...
2. (4 points) 100 lb of salt is dissolved in a tank containing 300 gal of water. A salt solution with concentration 3 lb/gal is poured into the tank at 2 gal/min. The mixture is well-stirred and then flows out at the same rate the brine is entering the tank. Find the amount of salt in the tank at time t.
*1.5.36 A tank initially contains 90 gal of pure water. Brine containing 4 lb of salt...
*1.5.36 A tank initially contains 90 gal of pure water. Brine containing 4 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 1.5 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? (a) The amount of salt x in the tank after t minutes...
A tank originally contains 140 gal of fresh water. Then water containing 1/2 lb of salt...
A tank originally contains 140 gal of fresh water. Then water containing 1/2 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min. the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the...
A 600-gal tank initaly contains 100 gal of brine containing 25 lb of salt. Brine containing...
A 600-gal tank initaly contains 100 gal of brine containing 25 lb of salt. Brine containing 2 lb of salt per gallon enters the tank at a rate of 5 gal's, and the well-mixed brine in the tank flows out at the rate of 3 gals. How much salt will the tank contain when it is tull of brine? The tank will contain of sat when it is tul of brine. (Type an integer rdecimal rounded to two decimal places...
A tank with capacity of 700 gal of water originally contains 300 gal of water with 50 lb of salt in solution
A tank with capacity of 700 gal of water originally contains 300 gal of water with 50 lb of salt in solution Water containing 1 lb of salt per gallon is entering at a rate of 4 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Let Q(t) (in pounds) be the amount of salt in the tank and V(t) (in gallons) be the volume of water in the tank. a) Find...
A 120-gallon tank initially contains 90 pounds of salt dissolved in 90 gallons of water. Brine...
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 ...
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...
Chapter 2, Section 2.3, Additional Question 02 A tank originally contains 10 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to gal of fresh water. Th...
Chapter 2, Section 2.3, Additional Question 02 A tank originally contains 10 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to gal of fresh water. Then water containing leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 9 gal/min, with the mixture again leaving at the same rate. Find the amount of...
A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.2 kg of salt. The solution inside the tank is kept...
A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.2 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.04 kg/L, determine the mass of salt in the tank after t min. When will the...
A tank initially contains 120 L of pure water. A salt mixture containing a concentration of...
A tank initially contains 120 L of pure water. A salt mixture containing a concentration of 1.5 g/L enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression for the amount of salt in the tank at any time t. Also, find the limiting amount of salt in the tank as t +0. (10 points)
2. (4 points) 100 lb of salt is dissolved in a tank containing 300 gal of water. A salt solution with concentration 3 lb/gal is poured into the tank at 2 gal/min. The mixture is well-stirred and then flows out at the same rate the brine is entering the tank. Find the amount of salt in the tank at time t.
*1.5.36 A tank initially contains 90 gal of pure water. Brine containing 4 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 1.5 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? (a) The amount of salt x in the tank after t minutes...
A tank originally contains 140 gal of fresh water. Then water containing 1/2 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min. the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the...
A 600-gal tank initaly contains 100 gal of brine containing 25 lb of salt. Brine containing 2 lb of salt per gallon enters the tank at a rate of 5 gal's, and the well-mixed brine in the tank flows out at the rate of 3 gals. How much salt will the tank contain when it is tull of brine? The tank will contain of sat when it is tul of brine. (Type an integer rdecimal rounded to two decimal places...
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...
Chapter 2, Section 2.3, Additional Question 02 A tank originally contains 10 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to gal of fresh water. Then water containing leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 9 gal/min, with the mixture again leaving at the same rate. Find the amount of...
A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.2 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.04 kg/L, determine the mass of salt in the tank after t min. When will the...
A tank initially contains 120 L of pure water. A salt mixture containing a concentration of 1.5 g/L enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression for the amount of salt in the tank at any time t. Also, find the limiting amount of salt in the tank as t +0. (10 points)
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