A 100-gal tank initially contains pure water. A solution of dye containing 0.3 lb/gal flows into the tank at the rate of 5 ga/min and the resulting mixture flows out at the same rate. After 15 min, the process is stopped and fresh water flows into the tank at the rate of 5 gpm and the mixture flows out at the same rate. Find the concentration of dye in the tank at the end of 30 min.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 23SE: A substance has a half-life of 2.045 minutes. If the initial amount of the substance was 132.8...
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A 100-gal tank initially contains pure water. A solution of dye containing 0.3 lb/gal flows into the tank
at the rate of 5 gal/min and the resulting mixture flows out at the same rate. After 15 min, the process is
stopped and fresh water flows into the tank at the rate of 5 gpm and the mixture flows out at the same
rate. Find the concentration of dye in the tank at the end of 30 min.
Transcribed Image Text:A 100-gal tank initially contains pure water. A solution of dye containing 0.3 lb/gal flows into the tank at the rate of 5 gal/min and the resulting mixture flows out at the same rate. After 15 min, the process is stopped and fresh water flows into the tank at the rate of 5 gpm and the mixture flows out at the same rate. Find the concentration of dye in the tank at the end of 30 min.
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