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The drawback of these considerations for pure condensation is that they are never applicable in a real situation because vaporization becomes more and more important as the drops decrease in size. °2 |l I0 4 I0 η 5 I0 6 I0 7 I0 8 I0 9 I0 10 Fig. 1 L o g - l o g plots of [ C „ ] / [ C ] versus η for various values of Ω a n d ξ. 75 χ 1 0 . F r o m H u d s o n and Heicklen (1968) with permission of P e r g a m o n Press. I I I BIMOLECULAR PROCESSES 30 2 ΙΟ ρπ—ττη—ι—Γτη—ι——ι l , 0 =Γ 1 1 IQ-4 10° ι 111 Ρ\ι ι ' 1 2 ΙΟ ΙΟ n I Mil 3 ΙΟ I 111!

We shall still assume that the reverse disintegration reaction is negligible, and that the accommodation coefficients are unity. Rate Coefficient The gas kinetic theory gives a collision rate coefficient Z „ m between two particles which is the product of their average relative velocity and the cross-sectional area of their collision cylinder : Z„, m = (ΖπκΤ/μ^ ^ + rj 2 2 (38) where μηι n is their reduced mass /Vn = ™m™ /(m + ™n) n m 21 22 III BIMOLECULAR PROCESSES Equation (38) is based on two important assumptions : 1.

234 χ 1 0 " . 785 - 05 4 . 045 - 06 2 . 349 - 10 1 χ HT 2 2 26 III BIMOLECULAR PROCESSES Condensation Consider the case of the vapor species C condensing on Cn under conditions in which physical source, vaporization, coagulation, and disintegration reactions are negligible. ,] - K„[_C -]) - k„[C„] n (47) Constant [C] In general, Eq. (47) has a complex solution. , for the pure condensation process, and solved the problem by using a series expansion for [C„]. Initially he considered the case for the conditions [C] = const [C„{0}] = 0 for n>2 where [C„{0}] is the initial concentration of [C„] at zero time.

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