H.W1: A 150-L tank initially contains (30 L) of fresh water. At (t = 0), a brine solution containing(0.5 kg) of salt per liter is poured into the tank at the rate of (10 L/min), while the well-stirred mixture leaves the tank at the rate of (4 L/min). Find:(a) The amount of time required for overflow to occur and(b) The amount of salt in the tank at the moment of overflow.

Given Data: It is given that a 150 L tank initially contains 30 L fresh water. A brine solution with…

Answered: H.W1: A 150-L tank initially contains…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.1 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.02 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.01 kg/L? Determine the mass of salt in the tank after t min. mass = kg When will the concentration of salt in the tank reach 0.01 kg/L? The concentration of salt in the tank will reach 0.01 kg/L after minutes. (Round to two decimal places as needed.)

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