Mars is 1.52 times farther away from the Sun than the Earth...

Mars is 1.52 times farther away from the Sun than the Earth is and has a diameter 0.532 times that of the Earth.
a) What is the intensity of solar radiation (in $\mathrm{W} / \mathrm{m}^{2}$ ) on the surface of Mars?
b) Estimate the temperature on the surface of Mars.

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Key Concepts

Inverse Square Law

This principle states that the intensity of radiation decreases in proportion to the square of the distance from the source. It is fundamental for understanding how solar radiation diminishes with increasing distance, which is necessary when comparing the solar energy flux received by different planets.

Solar Constant

The solar constant represents the amount of solar electromagnetic energy received per unit area at a standard distance from the Sun, usually at Earth’s orbit. It is an essential baseline for calculating how much solar energy other planets receive when adjusted for their orbital distances.

Stefan-Boltzmann Law

This law relates the power radiated per unit area of a black body to the fourth power of its temperature. It is crucial for estimating the effective temperature of a planet by equating the absorbed solar energy to the energy it emits as thermal radiation.

Radiative Equilibrium

Radiative equilibrium occurs when an object absorbs energy at the same rate that it emits energy, resulting in a stable temperature. In planetary science, this concept is used to determine the equilibrium temperature of a planet based on the balance between incoming solar radiation and outgoing thermal radiation.

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