A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held 100 L of pure wat

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well
stirred and flows out of the tank at a rate of 3 L/min.
4 L/min
0.2 kg. of salt /L
x (t)
At t=0
100 L
Pure water
x(t) kg. of salt
If the concentration of salt in the brine entering the tank is 0.2 kg/L, determine the mass of salt in the tank after t min.
=
(100+t)/5-20(100)^5(100+t)^-5
3 L/min
kg.
When will the concentration of salt in the tank reach 0.1 kg/L?
t₁ 12.246
minutes
Transcribed Image Text:A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 3 L/min. 4 L/min 0.2 kg. of salt /L x (t) At t=0 100 L Pure water x(t) kg. of salt If the concentration of salt in the brine entering the tank is 0.2 kg/L, determine the mass of salt in the tank after t min. = (100+t)/5-20(100)^5(100+t)^-5 3 L/min kg. When will the concentration of salt in the tank reach 0.1 kg/L? t₁ 12.246 minutes
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