Question

A tank contains 100 kg of salt and 1000 L of water. Water containing 0.7 kg/L of salt enters the tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 2 L/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. (Use t,A, A', A'', for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is (d) A(t) = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = kg/L

          A tank contains 100 kg of salt and 1000 L of water. Water containing 0.7 kg/L of salt enters the tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 2 L/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. (Use t,A, A', A'', for your variables, not A(t), and move everything to the left hand side.)
(c) The integrating factor is
(d) A(t) = (kg)
(e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.)
concentration = kg/L

A tank contains 100 kg of salt and 1000 L of water. Water containing 0.7 kg/L of salt enters the tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 2 L/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. (Use t,A, A', A”, for your variables, not A(t), and move everything to the left hand side.)
(c) The integrating factor is
(d) A(t) = (kg)
(e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.)
concentration = kg/L

Added by Joseph L.

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