Chemistry Homework Solutions
Problem
#29390

Stokes Law and particle sedimentation

Stokes' Law describing partial sedimentation is given by:
Rate = [(gd^2)(Δρ)]/18η
where g = 9.81 m s^-2 is gravitational acceleration. Δρ is the density difference between particles and the air, air viscosity of η = 1.36E-4 g cm^-1 s^-1 and d is the particle diameter in centimeters.

a. Calculate the weight of one cubic centimeter of air at 1.0 atm and 15 degrees celsius.

b. Assume particles have a density of 2.40 g cm^-3 and are being released by a 100 m smokestack. How long does it take a 25μm particle to settle to the ground?

c. It rains exactly once a week. What is the smallest particle size (μm) that can settle to the grounds before wet removal?

I keep trying over and over to do this problem and just can't seem to grasp it, showing a step by step solution would help me with future problems

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