Figure 1 illustrates a solution entering and leaving tank A. Initially, tank A contains 100 litres of pure water. Then, a salt solution of 2 kg/litre from tank B is pumped into tank A at a rate of 5 litre/minute. The mixture is stirred and is drained out at the same rate. If 20 kg of salt is initially dissolved into the tank, show that the rate at which the amount of salt A(t) changes is expressed in the following first-order linear equation. dA A = 10 20 dt Then, find the amount and concentration of salt in the tank after 5 minutes. Rin Salt Flow in Tank B dA = Rin - Rout dt Flow out Pure Water Rout Tank A Figure 1

Figure 1 illustrates a solution entering and leaving tank A. Initially, tank A contains 100 litres of pure water. Then, a salt solution of 2 kg/litre from tank B is pumped into tank A at a rate of 5 litre/minute. The mixture is stirred and is drained out at the same rate. If 20 kg of salt is initially dissolved into the tank, show that the rate at which the amount of salt A(t) changes is expressed in the following first-order linear equation. dA A = 10 20 dt Then, find the amount and concentration of salt in the tank after 5 minutes. Rin Salt Flow in Tank B dA = Rin - Rout dt Flow out Pure Water Rout Tank A Figure 1

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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