A brine solution of salt flows at a constant rate of 6 L/min into a tank that initially held 50 L of brine solution into which was dissolved 1.5 kg of salt. The solution in the tank is stirred and flows out of the tank at the same constant rate of 6 L/min. If the concentration of the salt entering the tank is 0.05 kg/L, develop the differential equation that models this scenario and find an expression for the mass of salt, S(t), in the tank at time tminutes. Use that function to find the amount of salt in the tank after 10 minutes. Show all work.

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