Lecture 19

Lecture 19 - Chem 338 Lecture 19 Collision Theory of...

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Chem 338 C h em 3 3 8 L e c t u r e 1 9 Collision Theory of Chemical Reactions 1. Collision Frequency: 2. Reaction Rate: 3. Mean Free Path: λ = [ 2 1/2 π d 2 (N/V) ] 1 4. Surfaces 1 2 2 8 (/ ) () col AB B dN V mm NN rr k T VV dt m m π ⎡⎤ ⎛⎞ + =+ ⎢⎥ ⎜⎟ ⎣⎦ ⎝⎠ N 1 2 2 8 , e x p AB a AB A B B B Steric Factor Arrhenius Collision Frequency Z Activation Energy E k T kT rate + −Δ ±²²³²²´ ±²²²²²²³²²²²²²´ P
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Chem 338 1. Collision Frequency: 1 2 2 8 (/ ) () col AB B dN V mm NN rr k T VV dt m m π ⎛⎞ + ⎡⎤ =+ ⎜⎟ ⎢⎥ ⎣⎦ ⎝⎠
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Chem 338 Collision Cylinder: V col = π d 2 < u > dt Number of collisions for each A: dN B = [ N B / V ] V col = [ N B / V ] d 2 < u AB > dt
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Chem 338 Number of collisions for each A: dN B = [ N B / V ] V col = [ N B / V ] π d 2 < u AB > dt Number of collisions for all A: Reaction rate constant: k rate ( T ) () 12 2 8 8 / / B AB AB BB A B BA B AB kT u Nk T m m dN r r dt Vm m πμ ⎡⎤ = ⎢⎥ ⎣⎦ ⎛⎞ + =+ ⎜⎟ ⎝⎠ 2 8 / col B A B dN V NN k T m m rr dt V r m t
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Lecture 19 - Chem 338 Lecture 19 Collision Theory of...

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