Suppose that a large mixing tank initially holds 1200 L of water in which 25 kg of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 10 L/min, and when the solution is well stirred, it is then pumped out at a slower rate of 7.5 L/min. If the concentration of the solution entering is 0.25 kg/L, determine a differential equation for the amount of salt A(t) in the tank at time t > 0. (Use A for A(t).)

Suppose that a large mixing tank initially holds 1200 L of water in which 25 kg of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 10 L/min, and when the solution is well stirred, it is then pumped out at a slower rate of 7.5 L/min. If the concentration of the solution entering is 0.25 kg/L, determine a differential equation for the amount of salt A(t) in the tank at time t > 0. (Use A for A(t).)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...

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Question

Suppose that a large mixing tank initially holds 1200 L of water in which 25 kg of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 10 L/min, and when the solution is well stirred, it is then pumped out at a slower rate of 7.5 L/min. If the concentration of the solution entering is 0.25 kg/L, determine a differential equation for the amount of salt A(t) in the tank at time t > 0. (Use A for A(t).)

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