WMOD00300

• Title: Characterization of Silver Iodide-Sodium Iodide Ice Nuclei Using Chemical Kinetic Methodology
• Date: 5/1/1985
• State: CO
• Weather Modification - Doc Type: Report

[A]t - [A]O - k'lt

(S.1. 7)

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30

The general solution for a-n (nfl) is
[A]~l _ [A]~-l - (k'l[A]~-l)(n-l)([A]~lt)

(3.1.6)

where subscripts t and 0 represent concentrations at time t and initial

concentrations respeotivley. For physioal prooesses, the exponent, a,

is often zero or one, giving the simple solutions

[A]t - [A]o exp(-k'lt)

<3.1.8)

If a-O and y-l, then eq. 3.1.4 becomes ~ -k'2 for whioh the solution
is

[Y]t - k'2t U.l.9)

where the initial concentration of produot Y is zero. Substitution of

the first order rate, eq 3.1.8, into eq. 3.1.4 and subsequent

integration yields

k'
[Y]t - ~ [A]o (1 - exp(-k'lt))
1

U .1.10)

tor the first order reaotion.

For the zero order reaotion, eq. 3.1.', a plot can be oonstructed

of [Y]t versus time which will yield a straight line with a slope
oorresponding to rate constant k' 2' Obtaining the rate constants for
the first order reaction, eq. 3.1.10, is more oomplioated. At the

effective end of the reaction, t-~,

k'
[Y]~'" ~. [A]o'
1

<3.1.11)