Density is defined as mass per unit volume. The Moon's average density ($\approx 3.34 \, \text{g/cm}^3$) is significantly lower than Earth's ($\approx 5.51 \, \text{g/cm}^3$). This difference is primarily due to variations in their internal composition and structure, specifically their cores.
Planetary bodies with larger, denser cores tend to have higher average densities. Key differences between Earth and the Moon include:
Because the Moon has a relatively thinner core (making up a smaller fraction of its total mass and volume) compared to Earth, the Moon's overall average density is lower. The higher proportion of less dense silicate mantle and crustal materials in the Moon significantly outweighs the contribution of its smaller core to the overall density calculation.
Therefore, the primary reason for the Moon's lower average density compared to Earth is its thinner core.
A planet of radius $r$ has a core of radius $r_c$ and a mantle. It has no crust. Its mean density is $\rho$ and the density of its core is $\rho_c$. What is the density of the mantle?
Given the following information, calculate the dry adiabatic lapse rate in Jupiter’s atmosphere.
| Composition | Specific heat | Acceleration due to gravity |
| $\text{H}_2$ | $13000\ \text{J/kg/K}$ | $26\ \text{m/s}^2$ |