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A landfill by a river is leaking toxic Agent X into the river so that the concentration of Agent X is 0.01 M. The river is 220 ft. wide and has an average depth of 13 ft. Luckily, Agent X is biodegradable and its rate of degradation, r3, is given by kịCx Tx = k2 + Cx where C is the concentration of Agent X. The Dept. of Natural Resources determines the kinetic constants kj and k2 to be 7.8x10s M s' and 8.3x10² M, respectively, and determines that it is safe to consume fish only where the concentration of X is lower than 1x10¬M. If the river flows at a flow rate of 51,000 ft³/s, how far downstream from the landfill should the fish be safe to eat? You may assume that the fish in question are very territorial, and do not move any appreciable distance up and down the river. You may also assume that the river is approximately plug flow.

A landfill by a river is leaking toxic Agent X into the river so that the concentration of Agent X is 0.01 M. The river is 220 ft. wide and has an average depth of 13 ft. Luckily, Agent X is biodegradable and its rate of degradation, r3, is given by kịCx Tx = k2 + Cx where C is the concentration of Agent X. The Dept. of Natural Resources determines the kinetic constants kj and k2 to be 7.8x10s M s' and 8.3x10² M, respectively, and determines that it is safe to consume fish only where the concentration of X is lower than 1x10¬M. If the river flows at a flow rate of 51,000 ft³/s, how far downstream from the landfill should the fish be safe to eat? You may assume that the fish in question are very territorial, and do not move any appreciable distance up and down the river. You may also assume that the river is approximately plug flow.

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 landfill by a river is leaking toxic Agent X into the river so that the concentration of Agent X is 0.01 M. The river is 220 ft. wide and has an average depth of 13 ft. Luckily, Agent X is biodegradable and its rate of degradation, r,, is given by k,Cx Ix = k2 + Cx where C; is the concentration of Agent X. The Dept. of Natural Resources determines the kinetic constants k, and k2 to be 7.8x10-$ M s' and 8.3x10² M, respectively, and determines that it is safe to consume fish only where the concentration ofX is lower than 1x10ª M. If the river flows at a flow rate of 51,000 ft³/s, how far downstream from the landfill should the fish be safe to eat? You may assume that the fish in question are very territorial, and do not move any appreciable distance up and down the river. You may also assume that the river is approximately plug flow.
Transcribed Image Text:A landfill by a river is leaking toxic Agent X into the river so that the concentration of Agent X is 0.01 M. The river is 220 ft. wide and has an average depth of 13 ft. Luckily, Agent X is biodegradable and its rate of degradation, r,, is given by k,Cx Ix = k2 + Cx where C; is the concentration of Agent X. The Dept. of Natural Resources determines the kinetic constants k, and k2 to be 7.8x10-$ M s' and 8.3x10² M, respectively, and determines that it is safe to consume fish only where the concentration ofX is lower than 1x10ª M. If the river flows at a flow rate of 51,000 ft³/s, how far downstream from the landfill should the fish be safe to eat? You may assume that the fish in question are very territorial, and do not move any appreciable distance up and down the river. You may also assume that the river is approximately plug flow.
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