A large tank initially contains 500 litres of brine in which 5 kilograms of salt is...

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A large tank initially contains 500 litres of brine in which 5 kilograms of salt is dissolved. Starting at t= 0, brine containing 0.06 kilograms of salt per litre flows into the tank at the rate of 2.5 litres per minute. The mixture is kept uniform by stirring and the well-stirred mixture leaves the tank at the rate of 2 litres per minute. • (a) Find the amount of salt e(t) in the tank after t minutes. • (b) How much salt is in the tank when the tank contains 1000 litres of brine? A large tank initially contains 500 litres of brine in which 5 kilograms of salt is dissolved. Starting at t= 0, brine containing 0.06 kilograms of salt per litre flows into the tank at the rate of 2.5 litres per minute. The mixture is kept uniform by stirring and the well-stirred mixture leaves the tank at the rate of 2 litres per minute. • (a) Find the amount of salt e(t) in the tank after t minutes. • (b) How much salt is in the tank when the tank contains 1000 litres of brine?

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