Question: Need it to be abled to be copied by hand easily, and i need A m-file of the Matlab code you use to solve the
Need it to be abled to be copied by hand easily, and i need A m-file of the Matlab code you use to solve the problem.
You are developing a process for the synthesis of proprietary chemical D from reagent A. The process involwes three process units. First, reagent A (as 8 solution in water) is fed to a continuous stirred tank reactor (CSTR) with an enzyme catalyst pre-immobilized on silica particles. The enzyme catalyst contains two unique active sites and is capable of transforming A into B at active site 1, and Ainto C at active site 2. The enzyme can be retained inside the CSTR, such that the only species in the output stream are A, B, CG, and water. Second, a separation unit then recovers the water and vaporizes the remaining A, B, 'C. Finally, the vapor stream is fed to an isothermal equilibrium gas phase reactor (GPR) in which D is produced. Unfortunately, two undesired side reactions also occur, producing byproducts F and G. For this assignment, you are only concerned with this final product gas stream, which contains unreacted A, B, and , together with all three products, D (desired), F (undesired), and G (undesired). Description of the CSTR The CSTR has a volume of 100 L and is to be run with input and output flow rates of 1 Limin. The concentration of A in the feed is held at 2 mol'L. The enzyme (E) concentration inside the reactor is fixed at 1 mol/L (assuming the enzyme remains active and not degraded during the entire process runtime). The reactions can be described as follows: A+ E == [AFT 5B +E A+ kE == [AKT \"Ho>C+ E where E, represents the reaction rate constant for the direction indicated by the arrow. The reaction rates for these enzyme-catalyzed reactions follow Michaelis-Menten kinetics, which result in the following rate expressions: 5 . [A] ty i Facen at a cmcat = be e[E], [A] Kiw Vesre Rake Me \" ME Aone IBY aad [4] By _-| Toomer =e = ble =| &. ELS +k,. where the rates are in molimin, Ky = Kay + boo and, Kye = bie t he. he he The useful expressions at the right of each rate equation (boxed) were derived from recognizing that at steady state, the concentration of species A in the reactor is identical to that in the output (CSTR assumption), such that: For the enzyme developed: rate Description of the Separator The separator is assumed to be able to completely separate A. B, and C in the CSTR outlet from the water also in that stream. The separated A. B, and C are then heated to become a vapor and fed to the GPR. Description of the GPR The formation of desired product D occurs by the following equilibrium reaction: 2A+B+C+ 3D MY =+9 kl/mol AG, = -10 kJ/mol Unfortunately, the catalyst used to carry out the conversion to D results in the following competing reactions, which produce two additional byproducts, F and G: All =-15 KJ/mol A+ B + 3F + C AG, =+0.5 kl/mol A+ C+ G All =+30 kl/mol AG, =+0.5 kl/mol The GPR must operate at a reduced pressure of 0.5 atm. and the temperature of 100 "C. Your tasks: 1. Draw and label a block flow diagram for the entire process containing the three process units described. 2. Write down all equations to solve for each unknown flow rate for the entire process, including the CSTR, separator, and GPR. No need to solve by hand 3. Write Matlab code to solve the process. You need to use fsolve twice, one for solving the CSTR. followed by solving the GPR using calculated flow rates from the CSTR. 4. Report all the solved flow rates on the diagram. 5. Calculate the following: a. fractional purity of species D in the GPR outlet (=mole fraction of D) b. fractional conversion of A for the entire process C. fractional selectivity for the formation of D from A for the entire process d. fractional yield for the formation of D from A for the entire process e . selectivity of D (desired product) relative to the sum of F and G (undesired products) You will submit (I) your neatly written or type-written work in pdf format (scan your handwritten work or export pdf from Word) documenting what Tasks 1, 2. 3, and 5, and (II) your Matlab code as a separate m-file. In the document, only brief verbal description is needed but the diagram, equations formulated, and the various performance parameters required to calculate should be clearly expressed. For the Matlab code, please make sure it is executable, error-free, and will generate the documented results
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