Question

3.2 µg/cm³ to kg/dm³
How do I solve this?

Answer 1

To convert 3.2 µg/cm³ to kg/dm³, we use the conversion factors 1 kg = 10^9 µg and 1 dm³ = 10^3 cm³. The result of the conversion is 3.2 x 10^-6 kg/dm³.

Step-by-step explanation:

To convert a density unit from µg/cm³ to kg/dm³, we need to know the conversion factors between these units.

We are given that the density is 3.2 µg/cm³. First, we convert micrograms to kilograms, knowing that 1 kg = 109 µg. Then, we convert cubic centimeters to cubic decimeters, for which 1 dm³ = 103 cm³.

Conversion:

1. Multiply 3.2 µg by 1 kg/109 µg = 3.2 x 10-9 kg
2. Multiply 1 cm³ by 1 dm³/103 cm³ = 0.001 dm³

When we divide these two converted values, we get:
3.2 x 10-9 kg / 0.001 dm³ = 3.2 x 10-6 kg/dm³.

This is the desired conversion for the given density.