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A microgram per cubic metre is a measure of density while a micron is a measure of length or distance. The two measure different things and, according to basic principles of dimensional analysis, conversion from one to the other is not valid.

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Q: What is the equilavent of 50 micrograms per cubic meters in terms of microns?
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.75 diameter x 3m length how many cubic meters?

.75 diameter? What units? 0.75 microns? 0.75 kilometres?


How many particles of 1 microns would fit in 1 cubic centimeter?

Assume that the particles are spherical in shape with a diameter of 1 micron; that is, a radius of 0.5 microns. Each particle therefore has a volume of 0.5236 cubic microns, approx. Now the volume to be filled is 1 cm3 = (104 microns)3 = 1012 cubic microns. The highest density that can be achieved for sphere packing is pi/sqrt(18) so the maximum volume that the spheres can occupy is pi/sqrt(18)*1012 cubic microns = 7.405*1011 cubic microns. At 0.5236 cubic microns each, this represents 1.4142*1012 particles or sqrt(2)*1012 of them.


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