A certain amount of an indissoluble substance containing 2 kg of salt in its pores is subjected to the action of 30 liters of water. After 5 min, 1 kg of salt dissolves. Within how long will 99% of the initial amount of salt dissolve? The rate of dissolution is proportional to the amount of salt that does not dissolve and to the difference between the concentration at the given instant and the concentration and the concentration of the saturated solution (1 kg for 3 litres). Give the result in minutes.
A certain amount of an indissoluble substance containing 2 kg of salt in its pores is subjected to the action of 30 liters of water. After 5 min, 1 kg of salt dissolves. Within how long will 99% of the initial amount of salt dissolve? The rate of dissolution is proportional to the amount of salt that does not dissolve and to the difference between the concentration at the given instant and the concentration and the concentration of the saturated solution (1 kg for 3 litres). Give the result in minutes.
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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A certain amount of an indissoluble substance containing 2 kg of salt in its pores is subjected to the action of 30 liters of water. After 5 min, 1 kg of salt dissolves. Within how long will 99% of the initial amount of salt dissolve? The rate of dissolution is proportional to the amount of salt that does not dissolve and to the difference between the concentration at the given instant and the concentration and the concentration of the saturated solution (1 kg for 3 litres). Give the result in minutes.
The Answer should be: 10.47
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