A 1000 L tank contains 500L of water with a salt concentration of 10 g/L. Water with a salt concentration of 55 g/L flows into the tank at a rate of 70 L/min. The fluid mixes instantaneously and is pumped out at a specified rate Rout. Let y(t) denote the quantity of salt in the tank at time t. Find the limiting salt concentration as t co assuming that Rout = 70 L/min. (Use decimal notation. Give your answer as whole or exact number.) the concentration of salt: g/L

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A 1000 L tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 55 g/L flows into
the tank at a rate of 70 L/min. The fluid mixes instantaneously and is pumped out at a specified rate Rout- Let y(t) denote the
quantity of salt in the tank at time t.
Find the limiting salt concentration as t co assuming that Rout
70 L/min.
(Use decimal notation. Give your answer as whole or exact number.)
the concentration of salt:
g/L
Transcribed Image Text:A 1000 L tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 55 g/L flows into the tank at a rate of 70 L/min. The fluid mixes instantaneously and is pumped out at a specified rate Rout- Let y(t) denote the quantity of salt in the tank at time t. Find the limiting salt concentration as t co assuming that Rout 70 L/min. (Use decimal notation. Give your answer as whole or exact number.) the concentration of salt: g/L
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