. A tank with a capacity of 2m³ (2000 liters) is initially full of pure water. At time t = 0, salt water with salt concentration 5 grams/liter begins to flow into the tank at a rate of 10 liters/minute. The well-mixed solution in the tank is pumped out at the same rate. (a) Set up, and then solve, the initial-value problem for the amount of salt in the tank at time t minutes. (b) Find the time when the salt concentration in the tank becomes 4 grams/liter

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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1. A tank with a capacity of 2m³ (2000 liters) is initially full of pure water. At time
0, salt water with salt concentration 5 grams/liter begins to flow into the tank at
a rate of 10 liters/minute. The well-mixed solution in the tank is pumped out at the
same rate.
t
=
(a) Set up, and then solve, the initial-value problem for the amount of salt in the
tank at time t minutes.
(b) Find the time when the salt concentration in the tank becomes 4 grams/liter.
Transcribed Image Text:1. A tank with a capacity of 2m³ (2000 liters) is initially full of pure water. At time 0, salt water with salt concentration 5 grams/liter begins to flow into the tank at a rate of 10 liters/minute. The well-mixed solution in the tank is pumped out at the same rate. t = (a) Set up, and then solve, the initial-value problem for the amount of salt in the tank at time t minutes. (b) Find the time when the salt concentration in the tank becomes 4 grams/liter.
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