Chapter 2. Multi-step reactions: the methods for analytical solving the direct problem
from the book Viktor Korobov & Valery Ochkov "Chemical kinetic with Mathcad & Maple"

png - picture, MC11, MC13 и MC14-15 - Mathcad-files of different versions of Matcad for downloading

MCS - on-line Mathcad calculation

***- working

Fig. 2.1

Developing the mathematical model of the reaction in Mathcad

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Fig. 2.2.

Using the reduced stoichiometric matrix

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Fig. 2.3.

Developing the mathematical model using the Maple suits

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Maple 9

Fig. 2.4.

Developing the reduced mathematical model

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Fig. 2.5.

Solving the direct kinetic problem by the matrix method: forming the necessary matrices

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Fig. 2.6.

Calculating the vector of the substance current concentrations

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Fig. 2.7.

The Laplace transformation in Mathcad

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MAS

Fig. 2.8.

Applying the operator method to derivation of the kinetic curve equation for the intermediate of the consecutive reaction

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Fig. 2.9.

The operator method in Maple

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Maple 9

Fig. 2.10.

Solving the system of the linear differential equations by means of the operator method

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Fig. 2.11.

Kinetics of the two-step first-order consecutive reaction with the reversible second step

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Fig. 2.12.

The time dependence of the reactant concentration in the stirred tank reactor

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Fig. 2.13.

The cascade of the stirred tank reactors

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Fig. 2.14.

Modeling the transient regime in the system of three reactors

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Fig. 2.15.

Replacing the source function with the linear combination of the functions

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Fig. 2.16.

Solving the direct problem for the reaction complicated by the photochemical conversion

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Fig. 2.17.

Checking applicability of the steady-state concentration method

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Fig. 2.18.

The analysis of the monomolecular reaction mechanism

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Fig. 2.19.

The symbolic evaluation of the intermediate steady-state concentrations

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Fig. 2.20.

Deriving the right part of the reduced differential equation system for ethane cracking

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Fig. 2.21.

Derivation of the equation for the source reactant kinetic curve

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Maple9

Fig. 2.22.

The kinetic curves of the stable participants of the ethane cracking process

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Fig. 2.23.

Checking the quasi-equilibrium principle

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Fig. 2.24.

Derivation of the kinetic equations for the enzyme reaction

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