3. A tank holds 100 gal of water-salt solution in which 4.0 lb of salt is...
3. A tank holds 100 gal of water-salt solution in which 4.0 lb of salt is dissolved. Water runs into the tank at the rate of 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 times, how much salt is in the tank at the end of 50 min? Assume that the density of the salt solution is essentially the same as that of water.
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3. A tank holds 100 gal of water-salt solution in which 4.0 lb
of salt is...
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...
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.
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...
with details. 3. A large tank contains 800 gal of water in which 42 lb of...
with details.
3. A large tank contains 800 gal of water in which 42 lb of salt are dissolved. Brine containing 2 lb of of dissolved salt per gal is pumped into the tank at a rate of 4 gal per minute, and the mixture, kept uniform by stirring, is pumped out at the same rate. (a) Find the amount x(t) of salt in the tank, at time t. (b) How long will it take for the amount of salt...
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...
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 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...
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water...
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 4 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank dy 4y/250-3.5t) dt (b) Write this equation in the correct form for using the method of separation of...
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.
A tank originally contains 100 gal of fresh water. Then water containing to of salt per...
A tank originally contains 100 gal of fresh water. Then water containing to of salt per gallon is poured into the tank at a rate of 2 gamin, 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 9 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end...
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.
with details.
3. A large tank contains 800 gal of water in which 42 lb of salt are dissolved. Brine containing 2 lb of of dissolved salt per gal is pumped into the tank at a rate of 4 gal per minute, and the mixture, kept uniform by stirring, is pumped out at the same rate. (a) Find the amount x(t) of salt in the tank, at time t. (b) How long will it take for the amount of salt...
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...
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 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...
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 4 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank dy 4y/250-3.5t) dt (b) Write this equation in the correct form for using the method of separation of...
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.
A tank originally contains 100 gal of fresh water. Then water containing to of salt per gallon is poured into the tank at a rate of 2 gamin, 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 9 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end...
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