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A tank contains 2660 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 9 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially? (kg) (b) Find the amount of sugar in the tank after t minutes. amount = (kg) (your answer should be a function of t) (c) Find the concentration of sugar in the solution in the tank after 54 minutes. concentration = (kg/L)

A tank contains 2660 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 9 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially? (kg) (b) Find the amount of sugar in the tank after t minutes. amount = (kg) (your answer should be a function of t) (c) Find the concentration of sugar in the solution in the tank after 54 minutes. concentration = (kg/L)

Advanced Engineering Mathematics
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 tank contains 2660 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 9 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially? (kg) (b) Find the amount of sugar in the tank after t minutes. amount = (kg) (your answer should be a function of t) (c) Find the concentration of sugar in the solution in the tank after 54 minutes. concentration = (kg/L)
Transcribed Image Text:A tank contains 2660 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 9 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially? (kg) (b) Find the amount of sugar in the tank after t minutes. amount = (kg) (your answer should be a function of t) (c) Find the concentration of sugar in the solution in the tank after 54 minutes. concentration = (kg/L)
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