The atmosphere of Mars is primarily composed of carbon dioxide ($\text{CO}_2$), a known greenhouse gas. Generally, a thicker atmosphere rich in greenhouse gases leads to higher surface temperatures due to the greenhouse effect, trapping heat. However, Mars's surface temperature is significantly lower than Earth's. We need to identify the main reason for this difference.
Mars's larger orbit places it farther from the Sun. This greater distance results in Mars receiving substantially less solar radiation (sunlight) compared to Earth. The amount of solar energy received is a primary factor determining a planet's average surface temperature.
Therefore, despite having a $\text{CO}_2$ atmosphere, the reduced solar energy input due to Mars's larger orbit is the main reason its surface temperature is less than that of Earth.
| Distance from the Sun | Radius of the planet | Incident Solar flux density | Equivalent temperature | |
| Planet A | $d_1$ | $r_1$ | $F_1$ | $T_1$ |
| Planet B | $d_2 = 4d_1$ | $r_2 = 2r_1$ | $F_2$ | $T_2$ |
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?