Convert the value 8.1 x 10^15 ng/m3 to units of g/cm3.
I am not sure how to do this kind of problem when the units are cubed. This is what I have so far.
(8.1 x 10^15 ng/m3) x (1 g/ 1x10^9ng) x (1m/ 100cm) = 8.1 x 10^22
well, now working through it I get 5.4x10^14
you need to cube (1m/100cm) in order to get (1m^3/[(100)^3]cm^3)
(8.1 x 10^15 ng/m3) x (1 g/ 1x10^9ng) x (1m/ 100cm)^3 = ?
To convert the value 8.1 x 10^15 ng/m3 to units of g/cm3, you need to apply the appropriate conversion factors.
First, let's convert nanograms (ng) to grams (g).
Given: 1 g = 1x10^9 ng
So, 8.1 x 10^15 ng/m3 can be converted to grams per cubic meter (g/m3) by multiplying by the conversion factor:
(8.1 x 10^15 ng/m3) x (1 g/1x10^9 ng) = (8.1 x 10^15 x 1 g) / (1 x 10^9 x 1 ng) = 8.1 x 10^6 g/m3
Now, to convert from g/m3 to g/cm3, we need to consider the conversion factor of meters to centimeters.
Given: 1 m = 100 cm
So, we can convert grams per cubic meter (g/m3) to grams per cubic centimeter (g/cm3) by multiplying by the conversion factor:
(8.1 x 10^6 g/m3) x (1 m/100 cm) = (8.1 x 10^6 g)/(1 x 100 cm) = 8.1 x 10^4 g/cm3
Therefore, the conversion of 8.1 x 10^15 ng/m3 to units of g/cm3 is approximately 8.1 x 10^4 g/cm3.