Number of particles crossing the spherical shell would be same as number of particles coagulating with respect to reference particle. Thus total number of particles coagulating per unit time is equal to product of flux (jA) and number of particles. Rate of coagulation for slow coagulation is equal to (jA) .
Rate of coagulation,  (10.26)
where Ks is the rate constant for slow coagulation. Stability ratio (w) is defined as the ratio of rate of rapid coagulation to rate of slow coagulation. From equation (10.18) and equation (10.26) we can write stability ratio as:
Stability ratio is always greater than 1 as rapid coagulation is faster than slow coagulation. From equation (10.18), rate of slow coagulation can be written as
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