A large tank contains 400 liters of fluid in which 100 grams of salt is dissolved. Water is pumped into the tank at the rate of 5 L/min and the well mixed solution in the tank is pumped out at the rate of 10 L/min. Find the design equations for i). the liquid volume V (t) at any time t in the tank ii). the number of grams of salt S(t) in the tank as a function of time. Over what range of time will your equations be valid and why? What would be the salt content in the tank after one hour of operation?
A large tank contains 400 liters of fluid in which 100 grams of salt is dissolved. Water is pumped into the tank at the rate of 5 L/min and the well mixed solution in the tank is pumped out at the rate of 10 L/min. Find the design equations for i). the liquid volume V (t) at any time t in the tank ii). the number of grams of salt S(t) in the tank as a function of time. Over what range of time will your equations be valid and why? What would be the salt content in the tank after one hour of operation?
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 large tank contains 400 liters of fluid in which 100 grams of salt is dissolved. Water is pumped into
the tank at the rate of 5 L/min and the well mixed solution in the tank is pumped out at the rate of 10 L/min.
Find the design equations for i). the liquid volume V (t) at any time t in the tank ii). the number of grams of salt
S(t) in the tank as a function of time. Over what range of time will your equations be valid and why? What would
be the salt content in the tank after one hour of operation?
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