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.axdtdx0dtDetermine the mass of salt in the tank after t minmass= 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.Daund to hun decimal places a poodedpls, underline the answers for dx/dt and the mass!

Answered: A brine solution of salt flows at a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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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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