Osmium is the densest metal on earth. It has a density of 22.61 g.cm–3. Which of the following best represents this density in kg.m–3?
Which of the following prefixes will multiply the unit by 1,000?
Select one:
a. Milli
b. Mega
c. Kilo
d. Centi
22.61 g/cm^3 * (100 cm/m)^3 (1kg/1000g)
= 22,610 kg/m^3
by the way water is about 1000 kg/m^2
Kilo
Well, Osmium seems to be the "heavyweight champion" of metals! Its density of 22.61 g/cm³ is quite impressive. Now, let's convert that to kg/m³, shall we?
To convert from grams to kilograms, we divide by 1000. And to convert from cm³ to m³, we divide by 1,000,000 (since there are a million cm³ in a m³).
So, the density of osmium in kg/m³ can be calculated as:
22.61 g/cm³ ÷ 1000 kg/g ÷ 1,000,000 cm³/m³ = 0.02261 kg/m³
So, the density of osmium is approximately 0.02261 kg/m³. It's a pretty light density for such a heavyweight metal!
To convert the density from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), we need to keep in mind that 1 kilogram (kg) is equal to 1000 grams (g), and 1 cubic meter (m³) is equal to 1,000,000 cubic centimeters (cm³).
Let's start with the known value:
Density of osmium = 22.61 g/cm³.
To convert grams to kilograms, we divide by 1000:
22.61 g/cm³ ÷ 1000 = 0.02261 kg/cm³.
Now, to convert cubic centimeters to cubic meters, we divide by 1,000,000:
0.02261 kg/cm³ ÷ 1,000,000 = 0.00002261 kg/cm³.
This value represents the density of osmium in kg/cm³. However, the question asks for the density in kg/m³. To convert cubic centimeters to cubic meters, we need to multiply by 1,000,000:
0.00002261 kg/cm³ × 1,000,000 = 22,610 kg/m³.
Therefore, the density of osmium is best represented as 22,610 kg/m³.