**Problem Statement:**A tank initially contains \( s_0 \) lb of salt dissolved in 400 gallons of water, where \( s_0 \) is some positive number. Starting at time \( t = 0 \), water containing 2 lb of salt per gallon enters the tank at a rate of 8 gallons per minute, and the well-stirred solution leaves the tank at the same rate. Letting \( c(t) \) be the concentration of salt in the tank at time \( t \), show that the limiting concentration—that is, \( \lim_{{t \to \infty}} c(t) \)—is 2 lb/gal.---**Instruction:**Write an equation for the rate of salt (in lb/min) that flows into the tank, where \( t \) is the time in minutes.**Flow\(_{in}\)** = \(\square\) ---To solve, consider the known rate of incoming flow. The concentration of incoming water is 2 lb/gal and it flows at 8 gal/min. Calculate the rate of salt entering the tank by multiplying these values. Fill in the flow rate into the equation section provided.

Answer :- Flowin=2*8=16 lb salt Flowout= C(t)*8 lb

Answered: A tank initially contains so lb of salt…

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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