Mass and energy balances problem
A tank holds 200 gal of a water salt solution in which 5.0 lb of salt is dissolved. Water runs into the tank at the rate 5 gal/min and salt solution overflows at the same rate. If the mixing in the tank is adequate to keep the concentration of salt in the tank uniform at all timetimes, how much salt is in the tank at the end of 100 min? Assume that the density of the salt solution is essentially the same as that of water.
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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.
4. A tank with a capacity of 500 gal originally contains 200 gal of water with...
4. A tank with a capacity of 500 gal originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow. Find the concentration (in...
A tank with capacity of 600 gal of water originally contains 200 gal of water with...
A tank with capacity of 600 gal of water originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Let Qct) Ib be the amount of salt in the tank, Vt) gal be the volume of water in the tank. Find the amount of...
Use Laplace transforms to solve the problems in Exercise. A 500-gal tank contains 200 gal fresh...
Use Laplace transforms to solve the problems in Exercise. A 500-gal tank contains 200 gal fresh water. A saltwater water solution enters the tank at a rate of 4 gal/min and the well-stirred solution leaves the tank at the same rate. Suppose for the first 10 min the salt concentration of the solution entering the tank is 1/2 Ib/gal and then the salt concentration of the entering solution is reduced to 1/4 Iblgal. How much salt is in the tank...
1) Given a tank initially contains 200 gallons of brine (salt mixed with water) in which...
1) Given a tank initially contains 200 gallons of brine (salt mixed with water) in which 150 lbs of salt is dissolved. A salt solution consisting of 0.5×(1 + e^(-0.02t)) lb. of salt per gallon (where t is time in unit of minute) is flowing into the tank at a rate of 10 gal./min and the mixed solution is drained from tank at the same rate. Find the amount of the salt in the tank after 1 hour. (10 points)...
Water Tank Problem
A 300 gal capacity tank contains a solution of 200 gal of water and 50 lbs of salt. A solution containing 3 lbs of salt per gallon is allowed to flow into the tank at the rate of 4 gal/min. The mixture flows from the tank at the rate of 2 gal/min.How much salt is in the tank at the end of 60 min?How many pounds of salt are in the tank at the end of 30 min?When does the...
differential equations please solve fast 4.)(25 points) Consider two tanks, labeled tank A and tank B. Tank A conta...
differential equations please solve fast
4.)(25 points) Consider two tanks, labeled tank A and tank B. Tank A contains 100 gallons of solution in which is dissolved 20 lbs of salt. Tank B contains 200 gal of solution in which is dissolved 40 lbs of salt. Pure water flows into tank A at a rate of 5 gal/min. A drain at the bottom of Tank A allows the solution to leave at a rate of 5 gal/min and flow directly...
(you can give youtr als we A tank contains initially (t 0) 200 gallons of water...
(you can give youtr als we A tank contains initially (t 0) 200 gallons of water in which 80 pounds of salt are dissolved. Pure water (i.e. no salt) runs into the tank at the rate of 4 gal/min. The mixture is drained out from bottom of tank at the rate of 6 gal/min. How much salt is there in the tank after 66 minutes?
8(10pts) A tank with a capacity of 500 gal originally contains 200 gal of water with...
8(10pts) A tank with a capacity of 500 gal originally contains 200 gal of water with 100 lb of salt in the solution. Water containing 1 lb of salt per gallon in entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow.
Solve word problem
A tank originally contains 400 gal of fresh water. Then water containing 0.9 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 12 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...
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.
4. A tank with a capacity of 500 gal originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow. Find the concentration (in...
A tank with capacity of 600 gal of water originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Let Qct) Ib be the amount of salt in the tank, Vt) gal be the volume of water in the tank. Find the amount of...
Use Laplace transforms to solve the problems in Exercise. A 500-gal tank contains 200 gal fresh water. A saltwater water solution enters the tank at a rate of 4 gal/min and the well-stirred solution leaves the tank at the same rate. Suppose for the first 10 min the salt concentration of the solution entering the tank is 1/2 Ib/gal and then the salt concentration of the entering solution is reduced to 1/4 Iblgal. How much salt is in the tank...
differential equations please solve fast
4.)(25 points) Consider two tanks, labeled tank A and tank B. Tank A contains 100 gallons of solution in which is dissolved 20 lbs of salt. Tank B contains 200 gal of solution in which is dissolved 40 lbs of salt. Pure water flows into tank A at a rate of 5 gal/min. A drain at the bottom of Tank A allows the solution to leave at a rate of 5 gal/min and flow directly...
(you can give youtr als we A tank contains initially (t 0) 200 gallons of water in which 80 pounds of salt are dissolved. Pure water (i.e. no salt) runs into the tank at the rate of 4 gal/min. The mixture is drained out from bottom of tank at the rate of 6 gal/min. How much salt is there in the tank after 66 minutes?
8(10pts) A tank with a capacity of 500 gal originally contains 200 gal of water with 100 lb of salt in the solution. Water containing 1 lb of salt per gallon in entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow.
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