R. Atkinson (J. Phys. Chem. Ref. Data 26, 215 (1997)) has reviewed a large set of rate constants relevant to the atmospheric chemistry of volatile organic compounds. The recommended rate constant for the bimolecular reaction of O2 with an alkyl radical R at 298 K is 4.7 × 109 dm3 mol−1 s−1for R = C2H5 and 8.4 × 109 dm3 mol−1 s−1 for R = cyclohexyl. Assuming no energy barrier, compute the steric factor, P, for each reaction

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R. Atkinson (J. Phys. Chem. Ref. Data 26, 215 (1997)) has reviewed a large set of rate constants relevant to the atmospheric chemistry of volatile organic compounds. The recommended rate constant for the bimolecular reaction of O2 with an alkyl radical R at 298 K is 4.7 × 109 dm3 mol−1 s−1for R = C2H5 and 8.4 × 109 dm3 mol−1 s−1 for R = cyclohexyl. Assuming no energy barrier, compute the steric factor, P, for each reaction. Hint: Obtain collision diameters from collision cross-sections of similar molecules in the Resource section.

Table 1B.1 Collision cross-
sections, ơ/nm²
Ar
0.36
C,H,
0.64
4
CH,
0.88
CH,
0.46
Cl,
0.93
CO,
0.52
H,
0.27
Не
0.21
N,
0.43
Ne
0.24
O,
0.40
SO2
0.58
Transcribed Image Text:Table 1B.1 Collision cross- sections, ơ/nm² Ar 0.36 C,H, 0.64 4 CH, 0.88 CH, 0.46 Cl, 0.93 CO, 0.52 H, 0.27 Не 0.21 N, 0.43 Ne 0.24 O, 0.40 SO2 0.58
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