Question

Can you please post the solution to the problem below from the textbook A Short Course in Cloud Physics, 3rd Edition, Rogers and M.K. Yau.

Problems 6.1. The following table, from Friedlander (1977, p. 9), gives the times required for the concentration of aerosol particles of 0.1 μm diameter to decrease by coagulation Listed are the times for the concentration, initially equal to No, to fall to one-tenth that value

N0(cm-3)	108	107	106	105
t1/10	2min	20min	3.5h	35h

Show that these data are consistent with the following formula for the reduction of aerosol concentration by coagulation

$\frac{\mathrm{d} N}{\mathrm{d} t}= -kN^{2}$

Solve for the value of k from the data

Answer 1

By using integration we get solution is

(1/N)=Kt+(1/N_o)
ven 7 at t o, N -No No in E No No No 9 Noo 108 x 120