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Consider a pond that initially contains 10 million gallons of fresh water. There is a flow into the pond of fresh water from a stream at rate 7 gal/hour. A new factory was installed close by and it is dumping water with chemical into the pond. The flow into the pond from this factory is at the rate 5 gal/hour of water with a chemical concentration of y(t) = 1- cos(πt/24) oz/gal. There is flow out the pond at rate 12 gal/hour. Suppose the chemical concentration is homogeneous in the pond. (a) Write a mathematical model of this flow process. (b) Determine the amount of chemical in the pond at any time (c) Describe in words the effect of the variation in the incoming concentration.

Consider a pond that initially contains 10 million gallons of fresh water. There is a flow into the pond of fresh water from a stream at rate 7 gal/hour. A new factory was installed close by and it is dumping water with chemical into the pond. The flow into the pond from this factory is at the rate 5 gal/hour of water with a chemical concentration of y(t) = 1- cos(πt/24) oz/gal. There is flow out the pond at rate 12 gal/hour. Suppose the chemical concentration is homogeneous in the pond. (a) Write a mathematical model of this flow process. (b) Determine the amount of chemical in the pond at any time (c) Describe in words the effect of the variation in the incoming concentration.

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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Consider a pond that initially contains 10 million gallons of fresh water. There is a flow into the pond of fresh water from a stream at rate 7 gal/hour. A new factory was installed close by and it is dumping water with chemical into the pond. The flow into the pond from this factory is at the rate 5 gal/hour of water with a chemical concentration of y(t) = 1- cos(πt/24) oz/gal. There is flow out the pond at rate 12 gal/hour. Suppose the chemical concentration is homogeneous in the pond. (a) Write a mathematical model of this flow process. (b) Determine the amount of chemical in the pond at any time (c) Describe in words the effect of the variation in the incoming concentration.
Transcribed Image Text:Consider a pond that initially contains 10 million gallons of fresh water. There is a flow into the pond of fresh water from a stream at rate 7 gal/hour. A new factory was installed close by and it is dumping water with chemical into the pond. The flow into the pond from this factory is at the rate 5 gal/hour of water with a chemical concentration of y(t) = 1- cos(πt/24) oz/gal. There is flow out the pond at rate 12 gal/hour. Suppose the chemical concentration is homogeneous in the pond. (a) Write a mathematical model of this flow process. (b) Determine the amount of chemical in the pond at any time (c) Describe in words the effect of the variation in the incoming concentration.
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