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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, that the lagoon is completely mixed (CSTR), and that the bacteria die off with a first-order decay constant of 0.1 day¹, what would be the 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 The solution of question (a) is given as follows,please solve for question (b) and (c)

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, that the lagoon is completely mixed (CSTR), and that the bacteria die off with a first-order decay constant of 0.1 day¹, what would be the 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 The solution of question (a) is given as follows,please solve for question (b) and (c)

Introduction to Chemical Engineering Thermodynamics
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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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, 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 be the 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 The solution of question (a) is given as follows,please solve for question (b) and (c) for CSTR V Vo Co-C (-FA) exit ml¹ and (-A) = 0.1 day ¹C we 5000 ml - CC= C= 2000 ml 2.5 substituting the V = by substituting the V = 15000 by 15000 get m³ m³; Vo = 1000 m³/day ; Co = 5000 15000 m³ 1000 m³/day 5000 ml-1. 0.1 day ¹C 1.5C 5000 ml ¹
Transcribed Image Text: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, 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 be the 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 The solution of question (a) is given as follows,please solve for question (b) and (c) for CSTR V Vo Co-C (-FA) exit ml¹ and (-A) = 0.1 day ¹C we 5000 ml - CC= C= 2000 ml 2.5 substituting the V = by substituting the V = 15000 by 15000 get m³ m³; Vo = 1000 m³/day ; Co = 5000 15000 m³ 1000 m³/day 5000 ml-1. 0.1 day ¹C 1.5C 5000 ml ¹
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