A tank contains 5000L of water. 20kg of salt is dissolved in the water. Brine, containing 0.03kg of salt per liter of water, makes its way in the tank at a rate of 25L per minute. Note that the solution is thoroughly mixed and the solution will drain at the same rate from the tank.
1.) Give a Dif EQ for the amount of salt, denoted A(t), in the tank at time t.
2.) What's the equilibrium solution of the Dif EQ. Describe what this means in relation to the problem.
Becuase the rate out of salt is the amount of water that comes out times the concentration of salt in water. The concetration of salt is the amount of salt divided by the volume which is (think of this as the precentage of salt in water). And now multiply this by because the precentage of salt is . Thus, the rate out of salt is .