A tank contains a mixture of water and salt, and at all times the solution is...

A tank contains a mixture of water and salt, and at all times the solution is kept will mixed. At time t = 0 there is 10 Liters solution in the tank, with no salt. However, being poured into the tank is a solution containing 2 grams of salt per liter, and it is entering at a rate of 5 liters per minute. Simultaneously we drain our tank at a rate of 3 liters per minute. Find the concentration of salt (measured in grams per liter) at time t.

Expert Solution

Colby Messinger answered 1 year ago

2. A tank initially contains 120 L of pure water. A salt mixture containing a concentration of...

2. A tank initially contains 120 L of pure water. A salt mixture containing a concentration of 1.5 g/L enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression for the amount of salt in the tank at any time t. Also, find the limiting amount of salt in the tank as t →∞.

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