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3.10 As an anesthesiologist, you are responsible for preparing IV solutions containing various concentrations of drugs. You have three continuous streams available in the operating room. The stream contents are listed with the known mass fractions, where w₁, x is the mass fraction of compound x in stream i: Stream 1: water, salt (w₁s = 0.010) Stream 2: water, salt (w2,s = 0.020), drug A (w2, A = 0.10) Stream 3: water, salt (w3,s = 0.020), drug A (w3, A = 0.050), drug B (w3,B = 0.080) Your goal is to mix the above streams to produce an IV stream (Stream 4) under continuous operation that contains water, salt, drug A, and drug B with the following characteristics: ■ Drug A has a mass fraction of 0.020 (W4,A = 0.020) ■ The ratio of the mass fraction of drug A to the mass fraction of drug B 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 mass conservation equation for each of the four constituents (water, salt, drug A, and drug B). Each term in the conservation equations should be written as a constituent mass flow rate (e.g., m2, or w2,5m2 where 2 represents stream 2 and s represents salt). Write an overall conservation equation. e. What are the mass flow rates of each of the four streams? f. Determine the mass fraction of each of the constituents (water, salt, drug A, and drug B) in the prepared IV stream (stream 4) leaving the mixer. g. Are your results reasonable? In other words, do they make sense? Justify.

3.10 As an anesthesiologist, you are responsible for preparing IV solutions containing various concentrations of drugs. You have three continuous streams available in the operating room. The stream contents are listed with the known mass fractions, where w₁, x is the mass fraction of compound x in stream i: Stream 1: water, salt (w₁s = 0.010) Stream 2: water, salt (w2,s = 0.020), drug A (w2, A = 0.10) Stream 3: water, salt (w3,s = 0.020), drug A (w3, A = 0.050), drug B (w3,B = 0.080) Your goal is to mix the above streams to produce an IV stream (Stream 4) under continuous operation that contains water, salt, drug A, and drug B with the following characteristics: ■ Drug A has a mass fraction of 0.020 (W4,A = 0.020) ■ The ratio of the mass fraction of drug A to the mass fraction of drug B 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 mass conservation equation for each of the four constituents (water, salt, drug A, and drug B). Each term in the conservation equations should be written as a constituent mass flow rate (e.g., m2, or w2,5m2 where 2 represents stream 2 and s represents salt). Write an overall conservation equation. e. What are the mass flow rates of each of the four streams? f. Determine the mass fraction of each of the constituents (water, salt, drug A, and drug B) in the prepared IV stream (stream 4) leaving the mixer. g. Are your results reasonable? In other words, do they make sense? Justify.

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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3.10 As an anesthesiologist, you are responsible for preparing IV solutions containing various concentrations of drugs. You have three continuous streams available in the operating room. The stream contents are listed with the known mass fractions, where w₁, x is the mass fraction of compound x in stream i: Stream 1: water, salt (w₁s = 0.010) Stream 2: water, salt (w2,s = 0.020), drug A (w2, A = 0.10) Stream 3: water, salt (w3,s = 0.020), drug A (w3, A = 0.050), drug B (w3,B = 0.080) Your goal is to mix the above streams to produce an IV stream (Stream 4) under continuous operation that contains water, salt, drug A, and drug B with the following characteristics: ■ Drug A has a mass fraction of 0.020 (W4,A = 0.020) ■ The ratio of the mass fraction of drug A to the mass fraction of drug B 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 mass conservation equation for each of the four constituents (water, salt, drug A, and drug B). Each term in the conservation equations should be written as a constituent mass flow rate (e.g., m2, or w2,5m2 where 2 represents stream 2 and s represents salt). Write an overall conservation equation. e. What are the mass flow rates of each of the four streams? f. Determine the mass fraction of each of the constituents (water, salt, drug A, and drug B) in the prepared IV stream (stream 4) leaving the mixer. g. Are your results reasonable? In other words, do they make sense? Justify.
Transcribed Image Text:3.10 As an anesthesiologist, you are responsible for preparing IV solutions containing various concentrations of drugs. You have three continuous streams available in the operating room. The stream contents are listed with the known mass fractions, where w₁, x is the mass fraction of compound x in stream i: Stream 1: water, salt (w₁s = 0.010) Stream 2: water, salt (w2,s = 0.020), drug A (w2, A = 0.10) Stream 3: water, salt (w3,s = 0.020), drug A (w3, A = 0.050), drug B (w3,B = 0.080) Your goal is to mix the above streams to produce an IV stream (Stream 4) under continuous operation that contains water, salt, drug A, and drug B with the following characteristics: ■ Drug A has a mass fraction of 0.020 (W4,A = 0.020) ■ The ratio of the mass fraction of drug A to the mass fraction of drug B 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 mass conservation equation for each of the four constituents (water, salt, drug A, and drug B). Each term in the conservation equations should be written as a constituent mass flow rate (e.g., m2, or w2,5m2 where 2 represents stream 2 and s represents salt). Write an overall conservation equation. e. What are the mass flow rates of each of the four streams? f. Determine the mass fraction of each of the constituents (water, salt, drug A, and drug B) in the prepared IV stream (stream 4) leaving the mixer. g. Are your results reasonable? In other words, do they make sense? Justify.
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