Two tanks are connected in series. Tank 1 is initially connected to two tanks of 20 kg of salt in series. Tank 1 initially contains 100L of salt water where 20Kg of salt is dissolved, and Tank 2 contains 150L of salt water where 90Kg of salt is dissolved. In this case, salt water in which 0.5 Kg/L of salt is dissolved flows into tank 1 at a rate of 5 L/min. Salt water flows out of tank 2 at a rate of 5 L/min through the outlet attached to tank 1, and tank 2 also has an outlet, through which salt water is discharged out at a rate of 5 L/min. After t minutes (min), when the concentrations of salt dissolved in tank 1 and tank 2 are y1(t) and y2(t), set a differential equation for the two tanks and find out the change in concentration over time.
Two tanks are connected in series. Tank 1 is initially connected to two tanks of 20 kg of salt in series. Tank 1 initially contains 100L of salt water where 20Kg of salt is dissolved, and Tank 2 contains 150L of salt water where 90Kg of salt is dissolved. In this case, salt water in which 0.5 Kg/L of salt is dissolved flows into tank 1 at a rate of 5 L/min. Salt water flows out of tank 2 at a rate of 5 L/min through the outlet attached to tank 1, and tank 2 also has an outlet, through which salt water is discharged out at a rate of 5 L/min. After t minutes (min), when the concentrations of salt dissolved in tank 1 and tank 2 are y1(t) and y2(t), set a differential equation for the two tanks and find out the change in concentration over time.
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
Section: Chapter Questions
Problem 1.1P
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Two tanks are connected in series. Tank 1 is initially connected to two tanks of 20 kg of salt in series. Tank 1 initially contains 100L of salt water where 20Kg of salt is dissolved, and Tank 2 contains 150L of salt water where 90Kg of salt is dissolved. In this case, salt water in which 0.5 Kg/L of salt is dissolved flows into tank 1 at a rate of 5 L/min. Salt water flows out of tank 2 at a rate of 5 L/min through the outlet attached to tank 1, and tank 2 also has an outlet, through which salt water is discharged out at a rate of 5 L/min. After t minutes (min), when the concentrations of salt dissolved in tank 1 and tank 2 are y1(t) and y2(t), set a differential equation for the two tanks and find out the change in concentration over time.
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