What is the concentration of 10 nm particles that move through air only by diffu

Question

What is the concentration of 10 nm particles that move through air only by diffusion at a distance of 10 m if the initial particle concentration at the point of generation are 100 micrograms/m^3?Consider no other transport mechanism, but diffusion with flux of 1.1 x 10 ^ -7 micrograms/m^2xs and use the Stoke-Einstein equation to estimate the diffusivity coefficient at 1 atm and 20 degrees C

D = k^B x Thermodynamic temp/ 6(3.14) x visocity of air x radius of particle

k^B= 1.38 x 10^ -23 J/K

Need to see it worked out

Explanation / Answer

D = k^B x Thermodynamic temp/ 6(3.14) x visocity of air x radius of particle

D = 1.38 x 10^ -23 J/K * 293 / 6*3.14*1.983 x 10-5

= 1.08*10^-17 micrograms/m^2s

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