6. Suppose a brine containing 0.3 kilogram (kg) of salt per liter (L) runs into a tank initially filled with 400 L of water containing 2 kg of salt. If the brine enters at 10 L/min, the mixture is...

6

Extracted text: 6. Suppose a brine containing 0.3 kilogram (kg) of salt per liter (L) runs into a tank initially filled with 400 L of water containing 2 kg of salt. If the brine enters at 10 L/min, the mixture is kept uniform by stirring, and the mixture flows out at the same rate. Find the mass of salt in the tank after 10 min. Hint: Let A denote the number of kilograms of salt in the tank at t min after the process begins and use the fact that: rate of increase in A = rate of input-rate of exit. 10 L/min 0.3 kg/l. A() 400 L A(0) = 2 kg 10 L/min