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Stokes law  Settling velocity and rateby Maharg
Tags: settling stokes 
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#1
Oct3009, 11:57 PM

P: 23

1. The problem statement, all variables and given/known data
1. A fly ash (ρ =1.8 g/mL) aerosol consists of particles averaging 13 μm in diameter and with a concentration of 800μg/m3. Use the average diameter to calculate the settling velocity (cm/s) and settling rate (μg/m/s) of the particles in air. The StokesCunningham slip correction factor is 1.015. 2. Relevant equations vt = (pp  pa)C*g*dp^2/ 18n vt = settling velocity in m/s pp = particle density g/m3 pa = air density g/m3 C = stokescunningham slip correction factor (given in question) g = acceleration due to gravity dp = particle diameter in m n = viscosity of air 3. The attempt at a solution So first I had to figure out what each part of equation is since I was not given all of it. pp was given in question as 1.8 g/mL converted to 1.8E6 g/m3 (is that correct conversion?) pa I found online air density to be 1.184E3 g/m3 at 25 Celsius (note no textbook for this class) g = 9/8 m/s2 n = 1.86E2 g/m*s I also found this online After this I plugged it all into equation. vt = [(1.8E6 g/m3  1.184E3 g/m3)(1.015)(9.8 m/s2)(13E5 m)]/[18(1.86E2 g/m*s)] = 2403.654 g/m / 0.3348 g/m*s = 7179 = 7.2E3 s my units don't make sense. everything cancels out but seconds. How go I get this in m(cm) a second. I don't know how to make it so m doesn't cancel? Also I do not know how to do settling rate. We have never talked about rate in class. Any suggestions? 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution 


#2
Feb1510, 08:34 PM

P: 30

I think you forgot to square one of the terms which is why you are missing an m.
I assumed the settling rate was just the previous number * the concentration, although you are right, the book did not discuss it! ("Environmental Chemistry: a global perspective" by Gary w vanLoon and Stephen J. Duffy is full of errors and questions which does not reflect the material covered.) Anyway, this was code to solve the problem:



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