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3.11 Antibiotic cocktails (i.e., mixtures) are produced on a large scale in pharmaceutical plants. You have three continuous streams. One contains just water; the other two each contain an antibiotic drug of interest as well as water and salt(s). The three streams are mixed to yield one outlet stream. The stream contents are listed with the known mass fractions, where wia is the mass fraction of compound a in stream i: Stream 1: water, Drug X (wix = 0.40), NaCl (w1.NaCl = 0.050) Stream 2: water, Drug Y (w2,Y = 0.50), NaCl (w2, NaCl = 0.050), KC1 (w2,KCI = 0.10) Stream 3: water Your goal is to mix the above streams to produce a stream with a mixture of antibiotic drugs under continuous operation. The outlet Stream 4 contains water, Drug X, Drug Y, NaCI, and KCI with the following characteristics: Drug X has a mass fraction of 0.10 (w4x = 0.10). The ratio of the mass fraction of Drug Y to the mass fraction of Drug X is 2.0. a. Diagram the system, including the streams. Label the system, system boundary, and surroundings. b. State appropriate assumptions applied to the problem. c. What is the basis in your solution to this problem? d. Write a species conservation equation for each of the five constituents, specifically Drug X, Drug Y, NaCl, KCI, and water. Each term in the species conservation equations should be written as a constituent flow rate (e.g., m1x or wixṁ1 where 1 represents stream 1 and X represents Drug X). Write an overall conservation equation. e. What are the mass flow rates of each of the four streams? f. What is the composition (in mass fraction) of the outlet stream?

3.11 Antibiotic cocktails (i.e., mixtures) are produced on a large scale in pharmaceutical plants. You have three continuous streams. One contains just water; the other two each contain an antibiotic drug of interest as well as water and salt(s). The three streams are mixed to yield one outlet stream. The stream contents are listed with the known mass fractions, where wia is the mass fraction of compound a in stream i: Stream 1: water, Drug X (wix = 0.40), NaCl (w1.NaCl = 0.050) Stream 2: water, Drug Y (w2,Y = 0.50), NaCl (w2, NaCl = 0.050), KC1 (w2,KCI = 0.10) Stream 3: water Your goal is to mix the above streams to produce a stream with a mixture of antibiotic drugs under continuous operation. The outlet Stream 4 contains water, Drug X, Drug Y, NaCI, and KCI with the following characteristics: Drug X has a mass fraction of 0.10 (w4x = 0.10). The ratio of the mass fraction of Drug Y to the mass fraction of Drug X is 2.0. a. Diagram the system, including the streams. Label the system, system boundary, and surroundings. b. State appropriate assumptions applied to the problem. c. What is the basis in your solution to this problem? d. Write a species conservation equation for each of the five constituents, specifically Drug X, Drug Y, NaCl, KCI, and water. Each term in the species conservation equations should be written as a constituent flow rate (e.g., m1x or wixṁ1 where 1 represents stream 1 and X represents Drug X). Write an overall conservation equation. e. What are the mass flow rates of each of the four streams? f. What is the composition (in mass fraction) of the outlet stream?

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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3.11 Antibiotic cocktails (i.e., mixtures) are produced on a large scale in pharmaceutical plants. You have three continuous streams. One contains just water; the other two each contain an antibiotic drug of interest as well as water and salt(s). The three streams are mixed to yield one outlet stream. The stream contents are listed with the known mass fractions, where wia is the mass fraction of compound a in stream i: Stream 1: water, Drug X (w1,x = 0.40), NaCl (w1,NaCl = 0.050) Stream 2: water, Drug Y (w2,Y = 0.50), NaCl (w2,NaCl = 0.050), KCI (w2,KCI = 0.10) Stream 3: water Your goal is to mix the above streams to produce a stream with a mixture of antibiotic drugs under continuous operation. The outlet Stream 4 contains water, Drug X, Drug Y, NaCI, and KCI with the following characteristics: Drug X has a mass fraction of 0.10 (w4.x = 0.10). The ratio of the mass fraction of Drug Y to the mass fraction of Drug X is 2.0. a. Diagram the system, including the streams. Label the system, system boundary, and surroundings. b. State appropriate assumptions applied to the problem. c. What is the basis in your solution to this problem? d. Write a species conservation equation for each of the five constituents, specifically Drug X, Drug Y, NaCl, KCI, and water. Each term in the species conservation equations should be written as a constituent flow rate (e.g., m1x or wixmį where 1 represents stream 1 and X represents Drug X). Write an overall conservation equation e. What are the mass flow rates of each of the four streams? f. What is the composition (in mass fraction) of the outlet stream? g. Are your results reasonable? In other words, do they make sense? Justify.
Transcribed Image Text:3.11 Antibiotic cocktails (i.e., mixtures) are produced on a large scale in pharmaceutical plants. You have three continuous streams. One contains just water; the other two each contain an antibiotic drug of interest as well as water and salt(s). The three streams are mixed to yield one outlet stream. The stream contents are listed with the known mass fractions, where wia is the mass fraction of compound a in stream i: Stream 1: water, Drug X (w1,x = 0.40), NaCl (w1,NaCl = 0.050) Stream 2: water, Drug Y (w2,Y = 0.50), NaCl (w2,NaCl = 0.050), KCI (w2,KCI = 0.10) Stream 3: water Your goal is to mix the above streams to produce a stream with a mixture of antibiotic drugs under continuous operation. The outlet Stream 4 contains water, Drug X, Drug Y, NaCI, and KCI with the following characteristics: Drug X has a mass fraction of 0.10 (w4.x = 0.10). The ratio of the mass fraction of Drug Y to the mass fraction of Drug X is 2.0. a. Diagram the system, including the streams. Label the system, system boundary, and surroundings. b. State appropriate assumptions applied to the problem. c. What is the basis in your solution to this problem? d. Write a species conservation equation for each of the five constituents, specifically Drug X, Drug Y, NaCl, KCI, and water. Each term in the species conservation equations should be written as a constituent flow rate (e.g., m1x or wixmį where 1 represents stream 1 and X represents Drug X). Write an overall conservation equation e. What are the mass flow rates of each of the four streams? f. What is the composition (in mass fraction) of the outlet stream? g. Are your results reasonable? In other words, do they make sense? Justify.
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