How to convert particle/mL to microgram/mL?

01 February 2024 1 4K Report

Hello,

I am working with thermofisher F8803 FluoSpheres. The concentration is 2.7x10^13 particles/mL. I need to convert to microgram/mL. I have the follwoing information:

Particle size = 110nm

Density of polystyrene = 1.055g/cm^3

Specific surface area = 5.2x10^5 cm^2/g

Any help in this conversion would be greatly appreciated, thanks.

Ulrich Deiters

If the particles are spherical and “ particle size” is the diameter, the volume per particle is V = \pi/6 × d3 = 6.9691e-22 m3. The mass per particle is m = \rho × V = 1.055e+3 kg/m3 × 6.9691e-22 m3 = 7.3524e-19 kg. Multiplication with the particle count/mL gives 1.985e-5 kg/mL = 1.985e+4 µg/mL.

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