Colloid Formation and Growth A Chemical Kinetics Approach by Julian Heicklen

By Julian Heicklen

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Extra resources for Colloid Formation and Growth A Chemical Kinetics Approach

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This law states that if three components, A, B, and C, coexist, and that A is in equilibrium with B, and Β is in equilibrium with C, then A must be in equilibrium with C. In the previous example, however, neither C nor C 2 were in equilibrium with Cn ; they were only in a steady state. Consider the situation between C and Cn : C + C„ C w + 1, C + Q i - i ^ Q,, k l j M, k _ l n k l t l I_ l 5 The steady state was such that the rate of the forward reaction (l,n) was equal to the rate of the reverse reaction (— l,n — 1).

F r o m Heicklen et al (1969) with permission of P e r g a m o n Press. k w m are those for distinguishable particles, as computed from Eq. (45), except when η = m. Then the particles are indistinguishable and one-half the values computed from Eq. (45) must be used. Usually it is convenient to express the coagulation rate in terms of some average rate coefficient k c o ag -dN/dt = k c o a gN 2 (63) Thus k c o ag is defined by iN n>m A question of considerable importance is what becomes of system of coagulating particles?

15 7 - 0 5 ι.. 431 - 05 9.. 183 - 06 4 . 680 . 045 + 6. 9 32 1. 0. 800 8.. 107 4,. 697 + 4. 567 9. 2 74 2. 250 . 038 6.. 272 5,. 141 1. 040 2.. 714 1.. 2. , 382 5. 910 1. ,079 4. ,011 4.. 474 1.. 783 - 10 2 .. 720 -10 9.. 234 χ 1 0 " . yn = y c for η > 2. = 0 for η = 1. 47 SUPERSATURATION whereas for S m n + m (n,m > 1), the values are always < 1. It can also be seen from the table that for all species, S w n + m decreases as either m or η is increased. Let us examine the case when C and C 2 are both in a steady state with respect to C„.

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