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Prove that the ratio of methane to ethylene in a purge stream must exceed that same ratio in the ethylene feed for the purge stream to work in removing methane from our ethylene-to-ethyl alcohol process.

Prove that the ratio of methane to ethylene in a purge stream must exceed that same ratio in the ethylene feed for the purge stream to work in removing methane from our ethylene-to-ethyl alcohol process.

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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Home work 1. Prove that the ratio of methane to ethylene in a purge stream must exceed that same ratio in the ethylene feed for the purge stream to work in removing methane from our ethylene-to-ethyl alcohol process. 2. The variation of the flowrate of methane against the the fraction of the ethylene recovery stream b is given in the following figure. Explain that the decision of b=0.004 is reasonable. 10 8. 01 0.005 0.015 0.02 *3.(optional) In the following optimization problem, f is the function in the constraint equation, and the problem is a constrained optimization problem. Convert this problem to a non-constrained one. Min c(x , w ) X, W s.t. f(x,w)=0 c → R 37-38 / 38 f→ Ral x eX →R"! dependent variables wɛW→R®2 decision variables
Transcribed Image Text:Home work 1. Prove that the ratio of methane to ethylene in a purge stream must exceed that same ratio in the ethylene feed for the purge stream to work in removing methane from our ethylene-to-ethyl alcohol process. 2. The variation of the flowrate of methane against the the fraction of the ethylene recovery stream b is given in the following figure. Explain that the decision of b=0.004 is reasonable. 10 8. 01 0.005 0.015 0.02 *3.(optional) In the following optimization problem, f is the function in the constraint equation, and the problem is a constrained optimization problem. Convert this problem to a non-constrained one. Min c(x , w ) X, W s.t. f(x,w)=0 c → R 37-38 / 38 f→ Ral x eX →R"! dependent variables wɛW→R®2 decision variables
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