A lagoon with volume 15,000 m3 is being polluted by a stream that flows at 1,000 m3/day andcarries fecal bacteria with a concentration of 5,000 per mL due to a leaking sewage pipe.a) Assuming this has been going on for a while (steady state), that the lagoon is completelymixed (CSTR), and that the bacteria die off with a first-order decay constant of 0.1 day-1,what would bethe concentration of the water flowing out of the lagoon?Answer: 2000 mL-1b) If the leaking pipe is found and repaired, what would concentration be a day later? If safelevels for swimming are 100 per mL, could one swim in the lagoon or outflow next day?Answer: 1692 mL-1c) On what day will the concentration drop below (i.e., reach) the safe-swimming standardvalue of 100 per mL?Answer: Day 18

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question
A lagoon with volume 15,000 m3 is being polluted by a stream that flows at 1,000 m3/day and
carries fecal bacteria with a concentration of 5,000 per mL due to a leaking sewage pipe.
a) Assuming this has been going on for a while (steady state), that the lagoon is completely
mixed (CSTR), and that the bacteria die off with a first-order decay constant of 0.1 day-1,
what would bethe concentration of the water flowing out of the lagoon?
Answer: 2000 mL-1
b) If the leaking pipe is found and repaired, what would concentration be a day later? If safe
levels for swimming are 100 per mL, could one swim in the lagoon or outflow next day?
Answer: 1692 mL-1
c) On what day will the concentration drop below (i.e., reach) the safe-swimming standard
value of 100 per mL?
Answer: Day 18
 
 
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