1A tank with a capacity of 400 gal initially contains 100 gal of water with 50 lb of salt dissolved in it.Water containing one (1) lb of salt per gallon enters at a rate of three (3) gal/min from the top, and the well-mixed tank content is allowed to flow out at a rate of two (2) gal/min from the bottom. Find the liquid volumein the tank over time and the time period over which you will be able to develop valid design equations thatdescribe how the volume and the salt contents in the tank change with time? What will be theand what will be the liquid volume and saltdesign equation for the salt content over that time periodcontent one hour before your equations become invalid

100gal=Initial amount of water in 400gal tank50lb=Initial amount of salt in the tank1lbgal=salt…

Answered: 1 A tank with a capacity of 400 gal…

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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