The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine runs at a rate of 40 L/min, and each liter contains 2.5 kg of dissolved salt. The mixture in the...

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Extracted text: The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine runs at a rate of 40 L/min, and each liter contains 2.5 kg of dissolved salt. The mixture in the tank is kept uniform by stirring. Brine runs out at 40 L/min. Write and simplify the differential equation to determine the amount of salt in the tank at any time t.