Explanation Determine the net flow of salt and multiply that by the integrating factor and then integrate to obtain the value of the limiting concentration of salt as t → ∞ Given: A 1000 L tank contains 500L of water with a salt concentration of 10g/L. Water with a salt concentration of 50 g/L flows into the tank at a rate of R i n = 80 L/minutes. The fluid mixes instantaneously and is pumped out at a specified rate R o u t . Let y ( t ) denote the quantity of salt in the tank at time t Calculation: The net flow of salt at time t will be d y d t = ( 80 ) ( 50 ) − ( 80 ) ( y 500 ) = 4000 − 8 y 50 This can be rewritten as d y d

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ISBN: 9781319434540

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 10.5, Problem 35E

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The limiting salt concentration as $t \to \infty$ assuming that $R o u t = 80 L / \min$

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Chapter 10.5, Problem 34E

Chapter 10.5, Problem 36E

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The limiting salt concentration as t → ∞ assuming that R o u t = 80 L / min

Solution Summary: The author explains how the limiting concentration of salt is given by 50 g / L as t.

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The limiting salt concentration as $t \to \infty$ assuming that $R o u t = 80 L / \min$

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Chapter 10 Solutions

The limiting salt concentration as t → ∞ assuming that R o u t = 80 L / min

Solution Summary: The author explains how the limiting concentration of salt is given by 50 g / L as t.

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The limiting salt concentration as t→∞ assuming that Rout=80L/min

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Chapter 10 Solutions

The limiting salt concentration as $t \to \infty$ assuming that $R o u t = 80 L / \min$