I want to convert mass concentration to number concentration. For eg., If I have a value 28 ug/m^3, which formula or what factor can I use to convert the value into particles/cm^3?
Divide the mass density by an average particle mass and then you will get number density.
Therefore, 1 PPM = 1,000 microgram per meter cubed. Similarly, 1 microgram per meter cubed = 0.001 PPM. To quickly convert from PPM to micrograms, multiply by 1,000. If you have 2 PPM of a solute in solution, the concentration is 2,000 micrograms per meter cubed.
There's something called Avogadro's number, that ought to ring a bell...https://www.ausetute.com.au/namole.html
Parminder Kaur Please refer to Table no. 4 of Hess et al 1998 paper (Optical properties of Aerosols and Clouds: The Software Package OPAC) https://www.researchgate.net/publication/233894156_Optical_properties_of_Aerosols_and_Clouds_The_Software_Package_OPAC
Generally speaking, you can get the number concentrations by dividing the mass concentrations with particle density assume to be 1 or 1.8 g/cm3.
However, the density of a single particle increases with the diameter of the particle increases. Therefore, to be accurate, you need to get the size distribution of your sample and the particle density as a function of particle diameter in your sampling scenario.
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