Question

A tank contains 70 kg of salt and 2000 L of water. Water containing 0.3 kg/L of salt enters the tank at a rate of 9 L/min. The solution is mixed and drains from the tank at a rate of 3 L/min. A(t) represents the amount of salt in the tank at time t, measured in kilograms. (a) A(0) = ? (kg) (b) The differential equation for the amount of salt in the tank is: ? (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) 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 70 kg of salt and 2000 L of water. Water containing 0.3 kg/L of salt enters the tank at a rate of 9 L/min. The solution is mixed and drains from the tank at a rate of 3 L/min. A(t) represents the amount of salt in the tank at time t, measured in kilograms.

(a) A(0) = ? (kg)
(b) The differential equation for the amount of salt in the tank is: ?
(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) 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 Jose Francisco B.

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