Examine the situation illustrated in Figure. A tank initially contains 1000 kg of brine containing 10% salt by mass. An inlet stream of brine containing 20% salt by mass flows into the tank at a rate of 20 kg/min. The mixture in the tank is kept uniform by stirring. Brine is removed from the tank via an outlet pipe at a rate of 10 kg/min. Find the amount of salt in the tank at any time t, and the elapsed time when the amount of salt in the tank is 200 kg. I solved this issue by arriving at a first order linear differential equation. I would like to know if there is another possibility to solve, also using global mass balance, but without using a first order linear differential equation.

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
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Examine the situation illustrated in Figure. A tank initially contains 1000 kg of brine containing 10% salt by mass. An inlet stream of brine containing 20% salt by mass flows into the tank at a rate of 20 kg/min. The mixture in the tank is kept uniform by stirring. Brine is removed from the tank via an outlet pipe at a rate of 10 kg/min. Find the amount of salt in the tank at any time t, and the elapsed time when the amount of salt in the tank is 200 kg.

I solved this issue by arriving at a first order linear differential equation. I would like to know if there is another possibility to solve, also using global mass balance, but without using a first order linear differential equation.

20 kg/min
Salt content
20% by mass
Tank, initial content 1000 kg
Control volume
10 kg/min
Transcribed Image Text:20 kg/min Salt content 20% by mass Tank, initial content 1000 kg Control volume 10 kg/min
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