matlab_quiz_q2(2).pdf

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Quiz 2 Kinetics for methanol synthesis reaction The kinetics for the CO 2  hydrogenation  and reverse water-gas shift reactions  for methanol synthesis are given by  =    1  1 , 3   [1+  (  ) + √   + ] 3    =   [1 ,2 ( )] 1+  (  )+ √   +  where the corresponding parameters are given in the f ollowing table: Table 1 Kinetics and equilibrium parameters = e xp     A B k a  0.499 17197 k b  6.62 × 10 -11  124119 k c  3453.38 - k d  1.07 36696 k e  1.22 × 10 10  -94765  = 10   A B  K eq,1  3066 10.592  K eq,2  2073 2.029 Where R  g  = 8.314 J/mol.K Write a matlab m-file f unction to compute the rate of hydrogenation reaction rco2 and water gas shift reaction rwgs for various values o f partial pressures of ca rbon dioxide (pco2), carbon monoxide (pco), hydrogen (ph2), water (ph2o), methanol (pch3oh) and te mperature T. The first line of your function should look as follows: function [rco2,rwgs] = methanol_kinetics(T,pch3oh,pco,pco2,ph2,ph 2o) Use your function to compute rate of hydrogenation reaction and water gas shift reaction  values for the following values of partial pressure p i’s and temperature T :

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  • 5/22/2018 Matlab_Quiz_Q2(2).pdf

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    Quiz 2 Kinetics for methanol synthesis reaction

    The kinetics for the CO2hydrogenation and reverse water-gas shift reactions formethanol synthesis are given by

    = 1 1, 3 [ 1 + () + + ]

    3

    = [ 1 ,2 ( )]

    1 + () + +

    where the corresponding parameters are given in the following table:

    Table 1 Kinetics and equilibrium parameters

    = exp A B

    ka 0.499 17197

    kb 6.62 10-11 124119

    kc 3453.38 -

    kd 1.07 36696

    ke 1.22 1010 -94765

    = 10 A BKeq,1 3066 10.592

    Keq,2 2073 2.029

    WhereRg= 8.314 J/mol.K

    Write a matlab m-file function to compute the rate of hydrogenation reaction rco2 and water

    gas shift reaction rwgs for various values of partial pressures of carbon dioxide (pco2), carbon

    monoxide (pco), hydrogen (ph2), water (ph2o), methanol (pch3oh) and temperature T. The

    first line of your function should look as follows:

    function [rco2,rwgs] = methanol_kinetics(T,pch3oh,pco,pco2,ph2,ph2o)

    Use your function to compute rate of hydrogenation reaction and water gas shift reactionvalues for the following values of partial pressurepis and temperature T:

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    T (K) pch3oh

    (bar)

    pco (bar) pco2 (bar) ph2 (bar) ph2o (bar)

    525 0 1.5 0.5 8 0

    525 0.101 1.454 0.485 7.935 0.025

    525 0 15 5 80 0

    525 15.98 5.42 4.99 72 1.61525 0 0.5 1.5 8 0

    525 0.044 0.606 1.367 7.837 0.146

    525 0 5 15 80 0

    525 4.96 3.52 13.51 75.03 2.98

    550 0 1.5 0.5 8 0

    550 0.038 1.506 0.471 7.952 0.033

    550 0 15 5 80 0

    550 12.44 7.42 7.36 71.65 1.13

    550 0 0.5 1.5 8 0

    550 0.025 0.646 1.34 7.821 0.168550 0 5 15 80 0

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