83. Suppose that a tank contains 20 gal of a solution of a certain chemical and that 5 lb of the chemical are in the solution. Starting at a certain instant, a solution of the same chemical, with con...
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...
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...
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.
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...
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...
h A tank initially has 200 gallons of a solution that contains 25 lb. of dissolved salt. brine solution with a concentration of 21b of salt/gallon is admitted into the tank at a rate of 4 gallons per minute. The well-stirred solution is drained at the same rate. How long will it take for the tank to have 100 lb. of dissolved salt? Round your answer to the nearest minute.
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...
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.
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...