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Chemical Reaction Engineering 1
Kinetics of Homogenous
Reaction
Agung Ari Wibowo, S.T, M.Sc
Dept. of Chemical Engineering
Politeknik Negeri Malang
Homogeneous reactions are chemical reactions in which the reactants and products are in the same phase
Batch Reactor
Continous Stirred Tank / Mixed Flow Reactor
Plug Flow Reactor
Reaction rate, the speed at which a chemical reaction proceeds. It is often expressed in terms of either the
concentration (amount per unit volume) of a product that is formed in a unit of time or the concentration of a
reactant that is consumed in a unit of time
1 𝑑𝑁𝑖
π‘šπ‘œπ‘™π‘’π‘  𝑖 π‘“π‘œπ‘Ÿπ‘šπ‘’π‘‘
π‘Ÿπ‘– =
=
𝑆 𝑑𝑑
(π‘†π‘’π‘Ÿπ‘“π‘Žπ‘π‘’ π΄π‘Ÿπ‘’π‘Ž)(π‘‘π‘–π‘šπ‘’)
1 𝑑𝑁𝑖
π‘šπ‘œπ‘™π‘’π‘  𝑖 π‘“π‘œπ‘Ÿπ‘šπ‘’π‘‘
π‘Ÿπ‘– =
=
𝑉 𝑑𝑑
(π‘£π‘œπ‘™ π‘œπ‘“ 𝑓𝑙𝑒𝑖𝑑)(π‘‘π‘–π‘šπ‘’)
Volume
Mass
1 𝑑𝑁𝑖
π‘šπ‘œπ‘™π‘’π‘  𝑖 π‘“π‘œπ‘Ÿπ‘šπ‘’π‘‘
π‘Ÿπ‘– =
=
π‘Š 𝑑𝑑
(π‘šπ‘Žπ‘ π‘  π‘œπ‘“ π‘ π‘œπ‘™π‘–π‘‘)(π‘‘π‘–π‘šπ‘’)
Area
Volume
π‘Ÿπ‘– =
1 𝑑𝑁𝑖
π‘šπ‘œπ‘™π‘’π‘  𝑖 π‘“π‘œπ‘Ÿπ‘šπ‘’π‘‘
=
𝑉 𝑑𝑑
(π‘£π‘œπ‘™ π‘œπ‘“ π‘Ÿπ‘’π‘Žπ‘π‘‘π‘œπ‘Ÿ)(π‘‘π‘–π‘šπ‘’)
Consider this reaction
π‘Žπ΄ + 𝑏𝐡 → 𝑐𝐢 + 𝑑𝐷
The Rate Equation
−π‘Ÿπ΄ = −
1 𝑑𝑁𝐴
π‘šπ‘œπ‘™π‘’π‘  𝐴 π‘π‘œπ‘›π‘ π‘’π‘šπ‘’π‘‘
=
𝑉 𝑑𝑑
(π‘£π‘œπ‘™ π‘œπ‘“ 𝑓𝑙𝑒𝑖𝑑)(π‘‘π‘–π‘šπ‘’)
The Rate Relation
−
π‘Ÿπ΄
π‘Ÿπ΅ π‘Ÿπ‘ π‘Ÿπ‘‘
=− = =
π‘Ž
𝑏
𝑐
𝑑
Elementary Reaction
𝐴+𝐡 →𝐢
The number of collisions of molecules A with B
is proportional to the rate of reaction. But at a
given temperature the number of collisions is
proportional to the concentration of reactants in
the mixture; hence, the rate of disappearance of
A is given by
-π‘Ÿπ΄ = π‘˜ 𝐢𝐴 𝐢𝐡
Non- Elementary Reaction
𝐻2 + π΅π‘Ÿ2 → 2π»π΅π‘Ÿ
When there is no direct correspondence
between stoichiometry and rate, then we
have nonelementary reactions
Elementary Reaction
𝐴+𝐡 →𝐢
The number of collisions of molecules A with B
is proportional to the rate of reaction. But at a
given temperature the number of collisions is
proportional to the concentration of reactants in
the mixture; hence, the rate of disappearance of
A is given by
-π‘Ÿπ΄ = π‘˜ 𝐢𝐴 𝐢𝐡
Non- Elementary Reaction
𝐻2 + π΅π‘Ÿ2 → 2π»π΅π‘Ÿ
When there is no direct correspondence
between stoichiometry and rate, then we
have nonelementary reactions
Problem:
Levenspiel, Example 1.1
Problem:
Levenspiel, Example 1.1
π‘Ÿπ‘– =
How to solve?
1 𝑑𝑁𝑖
π‘šπ‘œπ‘™π‘’π‘  𝑖 π‘“π‘œπ‘Ÿπ‘šπ‘’π‘‘
=
𝑉 𝑑𝑑
(π‘£π‘œπ‘™ π‘œπ‘“ π‘Ÿπ‘’π‘Žπ‘π‘‘π‘œπ‘Ÿ)(π‘‘π‘–π‘šπ‘’)
−π‘Ÿπ»2 = 2.829 x 104 π‘šπ‘œπ‘™/π‘š3 𝑠
−π‘Ÿπ‘‚2 = 1.415 x 104 π‘šπ‘œπ‘™/π‘š3 𝑠
Negative : reactant being
comsumed
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