Consider 2 intercomected tank. Tank A initially contains 180 L of water and log of salt, and tank B Initially contains looL of water and 25g of salt. The Liquid inside each tank is kept well stirred Liquid flows from tank A to tank B at a rate of BL/min and liquid flows from tonk B to tank A at rate of 3L/min. A salt brine with connectration 1791L of salt flows into tank A at a rate of 4 L/min and the solution drains out at 4 L/min. i). Praw a collection of tanks cliagram such that all flow rates, volumes, and the incoming salt concentration are shown on it. ii). Write out a system of first-order linear differential equations that would describle the rates of charge of the concentrations of salt, Cilt), (zlt). Do not forget to write the initial conditions. Do not solve the equations.
Consider 2 intercomected tank. Tank A initially contains 180 L of water and log of salt, and tank B Initially contains looL of water and 25g of salt. The Liquid inside each tank is kept well stirred Liquid flows from tank A to tank B at a rate of BL/min and liquid flows from tonk B to tank A at rate of 3L/min. A salt brine with connectration 1791L of salt flows into tank A at a rate of 4 L/min and the solution drains out at 4 L/min. i). Praw a collection of tanks cliagram such that all flow rates, volumes, and the incoming salt concentration are shown on it. ii). Write out a system of first-order linear differential equations that would describle the rates of charge of the concentrations of salt, Cilt), (zlt). Do not forget to write the initial conditions. Do not solve the equations.
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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Transcribed Image Text:(b). Consider 2 intercomected tank. Tank A initially contains 18⁰ L of water
and log of salt, and tank B Initially contains looL of water and 25g of
salt. The Liquid inside each tank is kept well stirred. Liquid flows from tank A
to tank B at a rate of BL/min and liquid flows from tank B to tank A
at rate of 34lmin. A salt brine with connectration 179/L of salt flows into
tank A at a rate of 4 L/min and the solution drains out at 4 L/min.
i). Draw a collection of tanks diagram such that all flow rates, volumes,
and the incoming salt concentration are shown on it.
ii). Write out a system of first-order linear differential equations that
would describle the rates of charge of the concentrations of salt,
Cilt), (zlt). Do not forget to write the initial conditions.
Do not save the equations.
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