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A tank initially contains 300 L of brine in which 60 kg of salt are dissolved. A brine containing 0.2 kg/L of salt runs into
A tank initially contains 300 L of brine in which 60 kg of salt are dissolved. A brine containing 0.2 kg/L of salt runs into the tank at the rate of 12 L/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 11 L'min. Let y represent the amount of salt at time t. Complete parts a through e. - . - a. At what rate (kilograms per minute) does salt enter the tank at time t? kg/min b. What is the volume of brine in the tank at time t? OL C. At what rate (kiolgrams per minute) does salt leave the tank at time t? kg/min d. Write down and solve the initial value problem describing the mixing process. dy . y(0) = 60. dt What is the solution to the initial value problem? y = e. Find the concentration of salt in the tank 16 min after the process starts. kg/L (Type an integer or decimal rounded to the nearest tenth as needed.)
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