Suppose we have a tank that contain 10 litres of water and 50 g of salt. The salt solution is pouring into the tank at a concentration of 2 g/l, and at a rate of 2 1/min. The mixture also leaves the tank at rate 2 1/min. Find the amount of salt in the tank as a function of t. If we let this run infinitely long, how much salt will be in the tank?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose we have a tank that contain 10 litres of water and 50 g of salt. The salt solution
is pouring into the tank at a concentration of 2 g/1, and at a rate of 2 1/min. The mixture
also leaves the tank at rate 2 1/min. Find the amount of salt in the tank as a function of t.
If we let this run infinitely long, how much salt will be in the tank?
Transcribed Image Text:Suppose we have a tank that contain 10 litres of water and 50 g of salt. The salt solution is pouring into the tank at a concentration of 2 g/1, and at a rate of 2 1/min. The mixture also leaves the tank at rate 2 1/min. Find the amount of salt in the tank as a function of t. If we let this run infinitely long, how much salt will be in the tank?
Expert Solution
Step 1

given ,

tank that contain 10liters of water and 50 gram of salt . 

so , initial concentration => 50gram10liter => 5gl

also given , salt solution pouring in the tank at rate of  =>  2 lmin and mixture leaves the tank at rate of => 2 lmin

hence , pouring and leaving tank of solution become steady state as have same rate .

also given , concentration of 2 gl is pouring in tank .

 

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