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paperproblems - red PPI M b where M red = α n 0.1 T-0.8 C...

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Chemistry 4511 Final Exam – Part I (100 pts) 1. Explain what is physically unique about this system that suggests how to modify the interaction potential. 2. Why does taking molecular orientation into account impact the rate constant more significantly than assuming the ion is a point? 3. In what situations is this expansion to the theory important? 4. Explain what each variable in equation 4 represents and why it needs to be included. 5. As stated in the paper, there is not an easy, analytical solution to find b * . Further work was done to create an equation to solve for the change in b * in terms of a few parameters. The equation that was found takes the following form: ( ) ( ) 67 . 6 * 8221 . 0 ln 1381 . 0 + = red
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Unformatted text preview: red PPI M b where M red = α n 0.1 T-0.8 C 0.7 and ⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎝ ⎛ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ = 2 1 2 1 2 2 1 2 3 n n ion ion n ion PPI N N e a C α such that 2 * 2 1 2 PPI b Langevin PPI b T k k k ∆ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + = π µ For the reaction C 2-+ O Æ CO + C-, determine the % error in calculating the k PPI this way instead of calculating rigorously, as done in the paper. Use the following information: a is the bohr radius e is the elementary charge α n = 8.02 x 10-25 cm 3 α ion = 1.29 x 10-23 cm 3 N n = 6 N ion = 2 T = 298 K WATCH YOUR UNITS!!! O C O C m m m m + = − − 2 2...
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