conversion question...?

Question

What do you get if you convert 30 micrograms/m^3 to:
1) molecules/cm^3
2) ppm
3) ppb

What is the percentage of 1.3g/L or 1.3g/cm^3 ?

Answer 1

1) The first is imposibble to do if you don't know the molecular weight of the substance. If it is MW and Na is Avocadro's number you have

30 micrograms/ m^3 = (30 *10^-6 *Na)/MW molecules /m^3 =
(30*10^-9*Na)/MW molecules /L = (30*10^-12*Na)/MW molecules /cm^3

2) % is g/100 cm^3 but it is also parts per hundred (pph)
so ppm is g/10^6 cm^3 = g/m^3
Thus 30 micrograms/m^3 = 30*10^-6 g/m^3= 30 *10^-6 ppm

3) ppb is g/10^9 cm^3 = g/1000 m^3 =10^-3 g/m^3
so 30 micrograms/m^3 = 30*10^-6 g/m^3 =30*10^-3 *10^-3 g/m^3 =30*10^-3 ppb

4) 1.3 g/L =1.3g /1000 mL =13 g/100 mL =13%

5) 1.3 g/cm^3 =1.3*100 /100 cm^3 = 130 g/100 cm^3 =130%

Answer 2

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