irreversible series reactions(first order irreversible ...web.nuu.edu.tw/~chuang/maple/cre/1-1-1...

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> > (4) (4) (2) (2) > > > > > > (1) (1) > > (5) (5) > > > > > > (3) (3) > > (6) (6) > > Irreversible Series Reactions(First Order Irreversible Series Reactions) Consider the first order series reactions A B where k a and k b are rate constants and the initial conditions are C A (0) = 1 mol/l, C B (0) = 0, and C C (0) = 0. The concentration of species C (C C (t)) at any time is given by the material balance: C C (t) =1 mol/l - C A (t) - C B (t)

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Page 1: Irreversible Series Reactions(First Order Irreversible ...web.nuu.edu.tw/~chuang/maple/cre/1-1-1 First Order Irreversible Series... · (5) > (3) (2) > (4) > > > > > > (1) Consider

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Irreversible Series Reactions(First Order Irreversible Series Reactions)Consider the first order series reactions

A Bwhere ka and kbare rate constants and the initial conditions are CA(0) = 1 mol/l, CB(0) = 0, and CC(0) = 0. The concentration of species C (CC(t)) at any time is given by the material balance:CC(t) =1 mol/l - CA(t) - CB(t)

Page 2: Irreversible Series Reactions(First Order Irreversible ...web.nuu.edu.tw/~chuang/maple/cre/1-1-1 First Order Irreversible Series... · (5) > (3) (2) > (4) > > > > > > (1) Consider

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Page 3: Irreversible Series Reactions(First Order Irreversible ...web.nuu.edu.tw/~chuang/maple/cre/1-1-1 First Order Irreversible Series... · (5) > (3) (2) > (4) > > > > > > (1) Consider

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Page 4: Irreversible Series Reactions(First Order Irreversible ...web.nuu.edu.tw/~chuang/maple/cre/1-1-1 First Order Irreversible Series... · (5) > (3) (2) > (4) > > > > > > (1) Consider

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In special case ka=kb

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Maximum Intermediate Concentration

Page 6: Irreversible Series Reactions(First Order Irreversible ...web.nuu.edu.tw/~chuang/maple/cre/1-1-1 First Order Irreversible Series... · (5) > (3) (2) > (4) > > > > > > (1) Consider

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e

1

Page 7: Irreversible Series Reactions(First Order Irreversible ...web.nuu.edu.tw/~chuang/maple/cre/1-1-1 First Order Irreversible Series... · (5) > (3) (2) > (4) > > > > > > (1) Consider

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Consider the series-parallel reaction scheme in a batch reactor

Assuming that all the reactions are first order, write down the governing equations for this reaction. Assuming 1, 0, and 0 mol/cm3 as the initial conditions for A, B, and C develop analytical expressions for the concentration of A, B and C. Do you observe a maximum for B? Plot the concentration profiles for the parameters k1 = 2 min-1; k2 = 1 min-1; and k3 = 2 min-1.

Page 8: Irreversible Series Reactions(First Order Irreversible ...web.nuu.edu.tw/~chuang/maple/cre/1-1-1 First Order Irreversible Series... · (5) > (3) (2) > (4) > > > > > > (1) Consider

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Page 9: Irreversible Series Reactions(First Order Irreversible ...web.nuu.edu.tw/~chuang/maple/cre/1-1-1 First Order Irreversible Series... · (5) > (3) (2) > (4) > > > > > > (1) Consider

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Page 10: Irreversible Series Reactions(First Order Irreversible ...web.nuu.edu.tw/~chuang/maple/cre/1-1-1 First Order Irreversible Series... · (5) > (3) (2) > (4) > > > > > > (1) Consider

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Parallel reaction

a b

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If the initial concentration of Ca is 1,Then

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