Q2.A local soap factoryproduces "homemade" soap and the major waste of the process is the salt dissolved in water which is drawn-off in a tank.The tank initially contains 15 L of water and 750g of salt. Due to the local regulations, theconcentration ofsalt in the waste discharged from the tank to the environment must not exceed 11.5 g/L. To meet the local regulations, it is desired topump fresh water into the tank at a rate of 2.0 L per minute while 25 g of salt per Lof waste from the process is added at a rate of 1.5 L per minute. At the same time, to keep thesolution level constant in the tank, 3.5 L per minute of the waste containing salt must be discharged.Assuming uniform mixing and constant density, Stream B Stream A 25 g salt/L 1.5L/min Fresh water 2L/min V= 15 L Stream C x gsalt/min 3.5L/min a. Derive a dynamic model and use Laplace Transformation method to find an equation for the concentration of salt at exit stream as a function of time. b. Use the equation derived in a and calculate the required time to achieve the required concentration level tomeet the local regulations?

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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Q2.A local soap factoryproduces “homemade" soap and the major waste of the
process is the salt dissolved in water which is drawn-off in a tank. The tank
initially contains 15 L of water and 750g of salt.Due to the local regulations,
theconcentration ofsalt in the waste discharged from the tank to the
environment must not exceed 11.5 g/L. To meet the local regulations, it is
desired topump fresh water into the tank at a rate of 2.0 L per minute while 25
g of salt per Lof waste from the process is added at a rate of 1.5 L per minute.
At the same time, to keep thesolution level constant in the tank, 3.5 L per
minute of the waste containing salt must be discharged.Assuming uniform
mixing and constant density,
Stream B
Stream A
25 g salt/L
1.5L/min
Fresh water
2 L/min
V= 15 L
Stream C
x gsalt/min
3.5 L/min
a. Derive a dynamic model and use Laplace Transformation method to find an
equation for the concentration of salt at exit stream as a function of time.
b. Use the equation derived in a and calculate the required time to achieve the
required concentration level tomeet the local regulations?
Transcribed Image Text:Q2.A local soap factoryproduces “homemade" soap and the major waste of the process is the salt dissolved in water which is drawn-off in a tank. The tank initially contains 15 L of water and 750g of salt.Due to the local regulations, theconcentration ofsalt in the waste discharged from the tank to the environment must not exceed 11.5 g/L. To meet the local regulations, it is desired topump fresh water into the tank at a rate of 2.0 L per minute while 25 g of salt per Lof waste from the process is added at a rate of 1.5 L per minute. At the same time, to keep thesolution level constant in the tank, 3.5 L per minute of the waste containing salt must be discharged.Assuming uniform mixing and constant density, Stream B Stream A 25 g salt/L 1.5L/min Fresh water 2 L/min V= 15 L Stream C x gsalt/min 3.5 L/min a. Derive a dynamic model and use Laplace Transformation method to find an equation for the concentration of salt at exit stream as a function of time. b. Use the equation derived in a and calculate the required time to achieve the required concentration level tomeet the local regulations?
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