3. Mixing tank A holds 100 L of water in which 0.04 kg of salts is dissolved. Suppose tank B contains 100 L of water which has 0.02 kg of salt. Liquid is pumped in and out of the tanks as indicated in Figure 1. The mixture exchanged between the two tanks and the liquid pumped out of tank B is assumed to be well stirred. Water Mixture 12 L/min 4 L/min 百同 A B 100 L 100 L Mixture Mixture 16 L/min 12 L/min Figure 1

3. Mixing tank A holds 100 L of water in which 0.04 kg of salts is dissolved. Suppose tank B contains 100 L of water which has 0.02 kg of salt. Liquid is pumped in and out of the tanks as indicated in Figure 1. The mixture exchanged between the two tanks and the liquid pumped out of tank B is assumed to be well stirred. Water Mixture 12 L/min 4 L/min 百同 A B 100 L 100 L Mixture Mixture 16 L/min 12 L/min Figure 1

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(a) Write the differential equation for the amount of salt present at any time for both tanks

(b) Construct a mathematical model for the number of kilograms x₁(t) and x₂(t) of salts in tank A and B respectively, at time t by using Laplace transform

Mixing tank A holds 100 L of water in which 0.04 kg of salts is dissolved. Suppose tank
B contains 100 L of water which has 0.02 kg of salt. Liquid is pumped in and out of the
3.
tanks as indicated in Figure 1. The mixture exchanged between the two tanks and the
liquid pumped out of tank B is assumed to be well stirred.
Water
Mixture
12 L/min
4 L/min
百同
A
B
100 L
100 L
Mixture
Mixture
16 L/min
12 L/min
Figure 1

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