The density of gold is 19.3 g>cm3. What is this value in kilograms per cubic mete
The Correct Answer and Explanation is:
To convert the density of gold from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), we use the following conversion factors:
- 1 gram = 0.001 kilograms
- 1 cubic centimeter = 0.000001 cubic meters (or 1 cm³ = 1 × 10⁻⁶ m³)
Step-by-step conversion:
Given:
Density = 19.3 g/cm³
Convert grams to kilograms:
19.3 g = 19.3 × 0.001 = 0.0193 kg
Convert cubic centimeters to cubic meters:
1 cm³ = 1 × 10⁻⁶ m³
So,
19.3 g/cm³ = 0.0193 kg / (1 × 10⁻⁶ m³)
= 0.0193 ÷ 1 × 10⁻⁶ kg/m³
= 19300 kg/m³
Final Answer:
The density of gold is 19300 kg/m³
Explanation
Density is a physical property that describes how much mass is contained in a given volume. In scientific contexts, it is important to express units in the International System of Units (SI). The SI unit of density is kilograms per cubic meter (kg/m³), while grams per cubic centimeter (g/cm³) is a commonly used unit in chemistry and materials science.
To convert from g/cm³ to kg/m³, we must understand how the basic units relate. One gram is one thousandth of a kilogram, which is why we multiply by 0.001. One cubic centimeter is one millionth of a cubic meter, which is why we divide by 1 × 10⁻⁶. Essentially, we are scaling both mass and volume into their SI counterparts.
Applying these conversion factors to gold’s known density of 19.3 g/cm³ results in:
19.3 g/cm³ = 19.3 × 1000 kg/m³ = 19300 kg/m³
Note that multiplying by 1000 is the same as dividing by 1 × 10⁻⁶ and then multiplying by 0.001 — the math simplifies to a straightforward multiplication by 1000. This makes it easy to remember: to convert any density value from g/cm³ to kg/m³, just multiply by 1000.
This high density value reflects the fact that gold atoms are very heavy and packed closely together, which makes gold one of the densest naturally occurring elements. This property is also part of the reason why gold is so valuable and useful in various scientific and industrial applications.
