A brine solution of salt flows at a constant rate of 9 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 thesame 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?If x equals the mass of salt in the tank after t minutes, first express =input rate-output rate in terms of the given data.axdtdx==0dtDetermine the mass of salt in the tank after t min.mass=0 kgWhen 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 14.23 minutes.Darind to hun decimal piacere pondedpls, underline the answers for dx/dt and the mass!

Let amount of salt in solution is x at any time t. Given information Initially, volume of solution…

Answered: A brine solution of salt flows at a…

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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