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Cyclone Efficiency

I have a problem where I've been asked to find the cut diameter for a set of cyclones. The equation I plan to use is Dpc = (ln2/M)^(n+1) I know n=0.945 but need to calculate M in order to find Dpc. The grade efficiency for a particle size Dpi = 3 x 10^-6m is 0.6536. So, I should be able to calculate M from the equation efficiency = 1-exp(-M x Dpi^N) where N = 1/n+1 therefore 0.6536 = 1-exp(-M x 3 x 10^-6^0.514) However, I can't see how to calculate this - I know it seems a really basic question but I'm stuck! I could do with some guidance on how to calculate M by getting around the exp function.

Subject:

Chemical and Biochemical Engineering

Topic:

Air Pollution Control

Posting ID:

62101

OTA ID:

103139

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