Calculate The Average Density of The Following Astronomical Body Pluto

How to Calculate Pluto's Average Density

Calculating Pluto's average density involves two fundamental steps: determining its mass and calculating its volume. The density is then found by dividing the mass by the volume.

Pluto's mass is typically measured in kilograms, while its volume is measured in cubic kilometers. The result will be in grams per cubic centimeter (g/cm³), which is the standard unit for astronomical density measurements.

Density Formula

This formula is fundamental in astronomy for comparing the composition of celestial bodies. For Pluto, we use the most accurate measurements available from space missions and astronomical observations.

Worked Example

Let's calculate Pluto's density using the following values:

• Mass: 1.303 × 10²² kg
• Volume: 6.6 × 10⁹ km³

First, convert the volume from cubic kilometers to cubic centimeters:

1 km³ = 10¹⁵ cm³

Volume in cm³ = 6.6 × 10⁹ × 10¹⁵ = 6.6 × 10²⁴ cm³

Now apply the density formula:

Density = 1.303 × 10²² kg / 6.6 × 10²⁴ cm³

Density = 0.0001974 g/cm³ (after converting kg to grams)

This means Pluto's average density is approximately 0.0001974 grams per cubic centimeter.

Interpreting the Results

Pluto's low density indicates that it is composed primarily of ices and other low-density materials. The result helps scientists understand Pluto's internal structure and composition.

Comparing Pluto's density with other celestial bodies can provide insights into its formation and evolution. For example, Pluto's density is similar to that of other Kuiper Belt objects, suggesting common formation processes.