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2_Simplification%20of%20kinetic%20analysis

# 2_Simplification%20of%20kinetic%20analysis - Four...

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1 Four Approaches to Simplify Kinetic Analysis In Mathematical Modeling Reactions near equilibrium => [A] = [A] - [A] eq << [A] eq Steady state 0 t Steady state [A] 0 t ] A [ Equilibrium A state of balance between opposing forces or actions Equilibrium of a chemical reaction Forward rate = Reverse rate Dimensional analysis => Ignore small dimensionless terms equilibrium equilibrium steady state steady state A B C [A], [B], and [C] can be at steady state but the reactions cannot be at equilibirum equilibirum since they are not reversible. A B C It is possible to have [A], [B], and [C] be at steady state and the reactions be at equilibirum equilibirum. Example 1 Example 2 ] [ ] [ ] ][ [ ] [ MN k MN k N M k dt MN d r f M + N P k MN k f k r At the steady state of [MN], K k K k k k MN r r f / k 1 [M][N] ] [ If the reversible reaction is at equilibrium , K k k [M][N] ] MN [ r f or K A

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