Initially consider a brine tank with a volume of V0 liter. In this tank, another brine solution containing 'b' kg of salt per liter is poured into the tank simultaneously at a speed of 'e'l / min. The tank has a very good internal mixing unit. From the lower part of the tank, the brine solution leaves the tank at 'f' l / min speed. a) Write the expression showing the volume of the tank at any time in liters (l) depending on other terms, 't' is the time in minutes (min). b) 'Q', to indicate the amount of salt in kg, write the expression showing the salt concentration (salt mass / solution volume) in the tank at any time in (kg / l) depending on other terms. c) Using the expressions obtained in parts a) and b) of the problem, write the differential equation (??⁄??) giving the amount of salt in the tank per unit time in terms of (kg / min) depending on other terms.
Initially consider a brine tank with a volume of V0 liter. In this tank, another brine solution containing 'b' kg of salt per liter is poured into the tank simultaneously at a speed of 'e'l / min. The tank has a very good internal mixing unit. From the lower part of the tank, the brine solution leaves the tank at 'f' l / min speed. a) Write the expression showing the volume of the tank at any time in liters (l) depending on other terms, 't' is the time in minutes (min). b) 'Q', to indicate the amount of salt in kg, write the expression showing the salt concentration (salt mass / solution volume) in the tank at any time in (kg / l) depending on other terms. c) Using the expressions obtained in parts a) and b) of the problem, write the differential equation (??⁄??) giving the amount of salt in the tank per unit time in terms of (kg / min) depending on other terms.
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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Initially consider a brine tank with a volume of V0 liter. In this tank, another brine solution containing 'b' kg of salt per liter is poured into the tank simultaneously at a speed of 'e'l / min. The tank has a very good internal mixing unit. From the lower part of the tank, the brine solution leaves the tank at 'f' l / min speed.
a) Write the expression showing the volume of the tank at any time in liters (l) depending on other terms, 't' is the time in minutes (min).
b) 'Q', to indicate the amount of salt in kg, write the expression showing the salt concentration (salt mass / solution volume) in the tank at any time in (kg / l) depending on other terms.
c) Using the expressions obtained in parts a) and b) of the problem, write the differential equation (??⁄??) giving the amount of salt in the tank per unit time in terms of (kg / min) depending on other terms.
Transcribed Image Text:e l'min
Vo 1
f l/min
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