If the tank is filled initially with 1000 kg of the inlet solution, how long after the outlet pump is turned on will the tank run dry?

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
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Desalination plants are used to purify seawater so it is suitable for drinking. Seawater
containing 8 g salt/kg solution is pumped into a well-mixed tank at a rate of 0.5 kg/min.
Assume that the balance of the solution is pure water.
Because of faulty design, water is evaporating from the tank at a rate of 0.5 kg/min. The
salt solution leaves the tank at a rate of 10 kg/min.
a) If the tank is filled initially with 1000 kg of the inlet solution, how long after the
outlet pump is turned on will the tank run dry?
b)
Use Euler's Method to determine the salt concentration in the tank as a function
of time?
[Use a step size of t = 20 min up to 500 minutes and thereafter use a step size of t=
100 min.]
Transcribed Image Text:Desalination plants are used to purify seawater so it is suitable for drinking. Seawater containing 8 g salt/kg solution is pumped into a well-mixed tank at a rate of 0.5 kg/min. Assume that the balance of the solution is pure water. Because of faulty design, water is evaporating from the tank at a rate of 0.5 kg/min. The salt solution leaves the tank at a rate of 10 kg/min. a) If the tank is filled initially with 1000 kg of the inlet solution, how long after the outlet pump is turned on will the tank run dry? b) Use Euler's Method to determine the salt concentration in the tank as a function of time? [Use a step size of t = 20 min up to 500 minutes and thereafter use a step size of t= 100 min.]
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