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You consider the preliminary design of a chemical plant to produce chemical C, which can be produced by either Process III or Process IV, both using raw material B. Further, B can be purchased or else manufactured in either Process I or Process II using raw material A₁ or A2, respectively. The minimum capacity of all processes, if established, is 1 kmol/h. The maximum supply of A1 and A2 are 15 kmol/h and 20 kmol/h, respectively. The price of A1 and A2, if purchased, are $450/kmol and $500/kmol, respectively. The price of B, if purchased, is $900/kmol. Any unreacted inputs present in the effluent of each process can be ignored. The maximum demand of C is 20 kmol/h; the selling price for C is 1800 $/kmol. The details of all the processes are given below: Conversion Total Cost Fixed ($/h) Variable ($/kmol) Process I A1 → B (90%) 1350 300 Process II Process III A2 → B (93%) 1200 250 B→ 2C (95%) 1750 400 Process IV 2B → 3C (97%) 1500 500 a) すり b) 08 Draw a single diagram of all the possible plant configurations (i.e., the superstructure). Formulate an optimization model to solve the problem, using profit maximization as objective function. (please write the model and also submit the file you used to solve it). Solve the model to find the optimal profit and production rate of C. Draw the block flow diagram of the optimal solution (design) along with the corresponding positive (only) flows.

You consider the preliminary design of a chemical plant to produce chemical C, which can be produced by either Process III or Process IV, both using raw material B. Further, B can be purchased or else manufactured in either Process I or Process II using raw material A₁ or A2, respectively. The minimum capacity of all processes, if established, is 1 kmol/h. The maximum supply of A1 and A2 are 15 kmol/h and 20 kmol/h, respectively. The price of A1 and A2, if purchased, are $450/kmol and $500/kmol, respectively. The price of B, if purchased, is $900/kmol. Any unreacted inputs present in the effluent of each process can be ignored. The maximum demand of C is 20 kmol/h; the selling price for C is 1800 $/kmol. The details of all the processes are given below: Conversion Total Cost Fixed ($/h) Variable ($/kmol) Process I A1 → B (90%) 1350 300 Process II Process III A2 → B (93%) 1200 250 B→ 2C (95%) 1750 400 Process IV 2B → 3C (97%) 1500 500 a) すり b) 08 Draw a single diagram of all the possible plant configurations (i.e., the superstructure). Formulate an optimization model to solve the problem, using profit maximization as objective function. (please write the model and also submit the file you used to solve it). Solve the model to find the optimal profit and production rate of C. Draw the block flow diagram of the optimal solution (design) along with the corresponding positive (only) flows.

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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You consider the preliminary design of a chemical plant to produce chemical C, which can be produced by either Process III or Process IV, both using raw material B. Further, B can be purchased or else manufactured in either Process I or Process II using raw material A₁ or A2, respectively. The minimum capacity of all processes, if established, is 1 kmol/h. The maximum supply of A1 and A2 are 15 kmol/h and 20 kmol/h, respectively. The price of A1 and A2, if purchased, are $450/kmol and $500/kmol, respectively. The price of B, if purchased, is $900/kmol. Any unreacted inputs present in the effluent of each process can be ignored. The maximum demand of C is 20 kmol/h; the selling price for C is 1800 $/kmol. The details of all the processes are given below: Conversion Total Cost Fixed ($/h) Variable ($/kmol) Process I A1 → B (90%) 1350 300 Process II Process III A2 → B (93%) 1200 250 B→ 2C (95%) 1750 400 Process IV 2B → 3C (97%) 1500 500 a) すり b) 08 Draw a single diagram of all the possible plant configurations (i.e., the superstructure). Formulate an optimization model to solve the problem, using profit maximization as objective function. (please write the model and also submit the file you used to solve it). Solve the model to find the optimal profit and production rate of C. Draw the block flow diagram of the optimal solution (design) along with the corresponding positive (only) flows.
Transcribed Image Text:You consider the preliminary design of a chemical plant to produce chemical C, which can be produced by either Process III or Process IV, both using raw material B. Further, B can be purchased or else manufactured in either Process I or Process II using raw material A₁ or A2, respectively. The minimum capacity of all processes, if established, is 1 kmol/h. The maximum supply of A1 and A2 are 15 kmol/h and 20 kmol/h, respectively. The price of A1 and A2, if purchased, are $450/kmol and $500/kmol, respectively. The price of B, if purchased, is $900/kmol. Any unreacted inputs present in the effluent of each process can be ignored. The maximum demand of C is 20 kmol/h; the selling price for C is 1800 $/kmol. The details of all the processes are given below: Conversion Total Cost Fixed ($/h) Variable ($/kmol) Process I A1 → B (90%) 1350 300 Process II Process III A2 → B (93%) 1200 250 B→ 2C (95%) 1750 400 Process IV 2B → 3C (97%) 1500 500 a) すり b) 08 Draw a single diagram of all the possible plant configurations (i.e., the superstructure). Formulate an optimization model to solve the problem, using profit maximization as objective function. (please write the model and also submit the file you used to solve it). Solve the model to find the optimal profit and production rate of C. Draw the block flow diagram of the optimal solution (design) along with the corresponding positive (only) flows.
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