4. Mixing Concentrations (Differential Equations) Consider a one-litre tank filled with a saline solution with an initial concentration of 5 g/L. Saline solution with a concentration of 25 g/L flows into the tank at a rate of 8 L/s, while thoroughly mixed solution flows out of the tank at 8 L/s (see figure below): Stirring device Inflow rate R Inflow concentration C; Volume V Outflow rate R a) Obtain the mass of the salt in the tank at any time t≥ 0 b) Obtain the concentration of the solution in the tank at any time t≥ 0

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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4. Mixing Concentrations (Differential Equations)
Consider a one-litre tank filled with a saline solution with an initial concentration of 5 g/L.
Saline solution with a concentration of 25 g/L flows into the tank at a rate of 8 L/s, while
thoroughly mixed solution flows out of the tank at 8 L/s (see figure below):
Stirring
device
Inflow rate R
Inflow concentration C;
Volume V
Outflow rate R
a) Obtain the mass of the salt in the tank at any time t≥ 0
b) Obtain the concentration of the solution in the tank at any time t≥ 0
Transcribed Image Text:4. Mixing Concentrations (Differential Equations) Consider a one-litre tank filled with a saline solution with an initial concentration of 5 g/L. Saline solution with a concentration of 25 g/L flows into the tank at a rate of 8 L/s, while thoroughly mixed solution flows out of the tank at 8 L/s (see figure below): Stirring device Inflow rate R Inflow concentration C; Volume V Outflow rate R a) Obtain the mass of the salt in the tank at any time t≥ 0 b) Obtain the concentration of the solution in the tank at any time t≥ 0
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