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CalculusQ&A LibraryA tank initially contains 120 L of pure water. A mixture containing a concentration of γ g/L of salt 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 in terms of γ for the amount of salt in the tank at any time t. Also find the limiting amount of salt in the tank as t → ∞.Question

Asked Jan 21, 2020

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A tank initially contains 120 L of pure water. A mixture containing a concentration of *γ* g/L of salt 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 in terms of *γ* for the amount of salt in the tank at any time *t*. Also find the limiting amount of salt in the tank as *t* → ∞.

Step 1

A tank initially contains 120 L of pure water. A mixture containing a concentration of *γ* g/L of salt 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 in terms of *γ* for the amount of salt in the tank at any time *t*. Also find the limiting amount of salt in the tank as *t* → ∞.

Step 2

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