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A well-mixed lake with a surface area of 3.0 km? and an average depth of 5 m is fed by a stream and by rainfall. (Groundwater and runoff are insignificant inputs.) The stream's flow rate is 0.2 m³/s, and the concentration of phosphorus in the stream is 0.1 mg/L. Average rainfall is 0.7 m/yr, and the rain has a phosphorus concentration of 0.01 mg/L. Phosphorus removal by evaporation and by biological processes is negligible. Phosphorus precipitates from the lake's water according to first-order kinetics, with a rate constant of 0.005/d. The outlet stream has a flow rate of 0.27 m³/s, which keeps the volume of water in the lake essentially constant. The concentration of phosphorus in the lake is most nearly (A) 0.018 mg/L (B) 0.029 mg/L (C) 0.034 mg/L (D) 0.045 mg/L

A well-mixed lake with a surface area of 3.0 km? and an average depth of 5 m is fed by a stream and by rainfall. (Groundwater and runoff are insignificant inputs.) The stream's flow rate is 0.2 m³/s, and the concentration of phosphorus in the stream is 0.1 mg/L. Average rainfall is 0.7 m/yr, and the rain has a phosphorus concentration of 0.01 mg/L. Phosphorus removal by evaporation and by biological processes is negligible. Phosphorus precipitates from the lake's water according to first-order kinetics, with a rate constant of 0.005/d. The outlet stream has a flow rate of 0.27 m³/s, which keeps the volume of water in the lake essentially constant. The concentration of phosphorus in the lake is most nearly (A) 0.018 mg/L (B) 0.029 mg/L (C) 0.034 mg/L (D) 0.045 mg/L

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 well-mixed lake with a surface area of 3.0 km? and an average depth of 5 m is fed by a stream and by rainfall. (Groundwater and runoff are insignificant inputs.) The stream's flow rate is 0.2 m/s, and the concentration of phosphorus in the stream is 0.1 mg/L. Average rainfall is 0.7 m/yr, and the rain has a phosphorus concentration of 0.01 mg/L. Phosphorus removal by evaporation and by biological processes is negligible. Phosphorus precipitates from the lake's water according to first-order kinetics, with a rate constant of 0.005/d. The outlet stream has a flow rate of 0.27 m³/s, which keeps the volume of water in the lake essentially constant. The concentration of phosphorus in the lake is most nearly (A) 0.018 mg/L (B) 0.029 mg/L (C) 0.034 mg/L (D) 0.045 mg/L
Transcribed Image Text:A well-mixed lake with a surface area of 3.0 km? and an average depth of 5 m is fed by a stream and by rainfall. (Groundwater and runoff are insignificant inputs.) The stream's flow rate is 0.2 m/s, and the concentration of phosphorus in the stream is 0.1 mg/L. Average rainfall is 0.7 m/yr, and the rain has a phosphorus concentration of 0.01 mg/L. Phosphorus removal by evaporation and by biological processes is negligible. Phosphorus precipitates from the lake's water according to first-order kinetics, with a rate constant of 0.005/d. The outlet stream has a flow rate of 0.27 m³/s, which keeps the volume of water in the lake essentially constant. The concentration of phosphorus in the lake is most nearly (A) 0.018 mg/L (B) 0.029 mg/L (C) 0.034 mg/L (D) 0.045 mg/L
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