A tank initially contains 300 L of water, in which is dissolved 10 kg of salt....
A tank contains 70 kg of salt and 2000 L of water. Water containing 0.4kg/L of salt enters the tank at the rate 16L/min. The solution is mixed and drains from the tank at the rate 4L/min. A(t) is the amount of salt in the tank at time t measured in kilograms. (a) A(0) = (kg) (b) A differential equation for the amount of salt in the tank is =0=0. (Use t,A, A', A'', for your variables, not A(t), and move everything...
(1 point) A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0.03 kg of salt per liter enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate. (1 point) A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0.03 kg of salt per liter enters a tank at the rate 7 Umin. The...
A tank contains 3,000 L of brine with 12 kg of dissolved salt. Pure water enters the tank at a rate of 30 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? y kg (b) How much salt is in the tank after 10 minutes? (Round your answer to one decimal place.) У kg Need Help? Read It Watch It Master It...
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...
A tank contains 15,000 L of brine with 23 kg of dissolved salt. Pure water enters the tank at a rate of 150 L / min. The solution is kept thoroughly mixed and drains from the tank at the same rate.Exereise (a)How much salt is in the tank after t minutes?Exercise (b)How much salt is in the tank after 10 minutes?
-2t A tank initially contains 10 liters of water and 5 grams of salt. Salt water containing 3+ e grams of salt per liter is pumped into the tank at a rate of 2 liters per minute. The solution of salt water is instantaneously, perfectly mixed and then pumped out at a rate of 2 liters per minute. Determine when, to three decimal places, the concentration of the salt leaving the tank is within 0.01 grams/liter of the salt entering...
(1 point) A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt per liter enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? concentration = !!! (kg/L) (b) Set up an initial value problem for the quantity y, in kg, of salt in the tank...
a tank contains 60 kg of salt and 2000 L of water. pure water enters at 6L/min the solution is mixed and drains at 9L/min y=kg of salt after t minutes. dy/dt=??? and y(0)=???
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)
6. A 500 L tank initially contains 10 g of salt dissolved in 200 L of water. Water containing 1/4 g of salt per liter is poured into the tank at the rate of 4 L/min and the mixture is drained from the tank at the rate of 2 L/min. Find an initial value problem that solve for x(t), the mass of salt in the tank at time t prior to when the tank overflows, then solve for x(t).