If I have a particle that's size is 0.3 micrometers (µm) at an air concentration of 6000 cubic centimeters (cm³) can I use this information to calculate the Milligram Per Cubic Meter (mg/cm³)? I think that means I'm trying to find the volumetric mass density?
+33661 You need the density of the particles. If we say this is ρ kg/m3, and we assume the 0.3 μm is the diameter of a particle, then the mass of a particle is
m = ρ*(4/3)*pi*(3*10-7/2)3kg = ρ*pi*(9/2)*10-21kg = ρ*pi*(9/2)*10-15mg
The number density is 6000 particles per cm3, so the volumetric mass density is
ρ*pi*(9/2)*10-15*6000mg/cm3 = ρ*pi*27*10-12mg/cm3
Can't go any further without knowing the value of ρ (in kg/m3)
+33661 You need the density of the particles. If we say this is ρ kg/m3, and we assume the 0.3 μm is the diameter of a particle, then the mass of a particle is
m = ρ*(4/3)*pi*(3*10-7/2)3kg = ρ*pi*(9/2)*10-21kg = ρ*pi*(9/2)*10-15mg
The number density is 6000 particles per cm3, so the volumetric mass density is
ρ*pi*(9/2)*10-15*6000mg/cm3 = ρ*pi*27*10-12mg/cm3
Can't go any further without knowing the value of ρ (in kg/m3)
