A chemical manufacturing company has a 1000 gallon holding tank which it uses to control the release of pollutants into a sewage system. Initially the tank has 360 gallons of fluid containing 2 pounds of pollutant per gallon. Fluid containing 3 pounds of pollutant per gallon enters the tank at the rate of 80 gallons per hour and is uniformly mixed with the fluid already in the tank. Simultaneously, fluid is released from the tank at a rate of 40 gallons per hour. Determine the rate (lbs/gal) at which the pollutant is being released after 10 hours of this process. How much pollutants in pounds are in the tank after 10 hours?
A chemical manufacturing company has a 1000 gallon holding tank which it uses to control the release of pollutants into a sewage system. Initially the tank has 360 gallons of fluid containing 2 pounds of pollutant per gallon. Fluid containing 3 pounds of pollutant per gallon enters the tank at the rate of 80 gallons per hour and is uniformly mixed with the fluid already in the tank. Simultaneously, fluid is released from the tank at a rate of 40 gallons per hour. Determine the rate (lbs/gal) at which the pollutant is being released after 10 hours of this process. How much pollutants in pounds are in the tank after 10 hours?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A chemical manufacturing company has a 1000 gallon holding tank which it uses to control the release of pollutants into a sewage system. Initially the tank has 360 gallons of fluid containing 2 pounds of pollutant per gallon. Fluid containing 3 pounds of pollutant per gallon enters the tank at the rate of 80 gallons per hour and is uniformly mixed with the fluid already in the tank. Simultaneously, fluid is released from the tank at a rate of 40 gallons per hour. Determine the rate (lbs/gal) at which the pollutant is being released after 10 hours of this process. How much pollutants in pounds are in the tank after 10 hours?
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Step 1: Given information
VIEWStep 2: Pollutant mass balance across the tank at any time 't' hours
VIEWStep 3: fluid volume balance across the tank at any time 't' hours
VIEWStep 4: Value for c(t) at t = 10 hrs
VIEWStep 5: The rate (lbs/hr) at which the pollutant is being released after 10 hours
VIEWStep 6: Amount of pollutant in tank at t = 10hrs
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