## Greenhouse Gases and Global Warming

Greenhouse gases raise the Earth’s equilibrium temperature by absorbing radiation that would otherwise be emitted into space.

### Learning Objectives

Describe effect of greenhouse gases on the Earth’s equilibrium temperature

### Key Takeaways

#### Key Points

• The atmosphere can both absorb and reflect radiation, either increasing or decreasing the Earth’s average temperature.
• All bodies naturally emit radiation; warmer bodies emit more photons, with higher average energies.
• In absorbing sunlight and emitting infrared radiation, the Earth produces entropy.

#### Key Terms

• selective absorber: An object that will absorb radiation over a particular set of wavelengths but will not (is transparent) at other wavelengths.
• greenhouse effect: The process by which a planet is warmed by its atmosphere.
• greenhouse gas: Any gas, such as carbon dioxide or CFCs, that contributes to the greenhouse effect when released into the atmosphere.
• radiative transfer: The transfer of radiation (energy) leaving one object and being absorbed by another.
• blackbody: An object that is a perfect absorber and emitter of radiation.

Radiation is a natural process of heat transfer; everything is constantly radiating heat. When a system is at equilibrium, we do not notice this exchange of energy because every object absorbs and emits precisely the amount of energy it receives, but this equilibrium is dynamic–the exchange is always taking place. In general, as the temperature of an object increases, it emits energy more rapidly by emitting photons at a faster rate, and by emitting photons of a greater average energy.

If we approximate the Earth as a perfect absorber and emitter of the radiation received from the sun (called a blackbody), we would expect the Earth to be at an average temperature of 5°C, rather than the 14°C which we observe. The extra temperature comes from the Earth and it’s atmosphere selectively absorbing certain wavelengths of radiation while reflecting other wavelengths. The 9°C discrepancy is due to the greenhouse effect. The gases of the atmosphere are “selective absorbers”; energy in the visible part of the electromagnetic spectrum passes through the atmosphere directly to the Earth’s surface (with some reflection occurring as well). The Earth absorbs this energy and then re-emits radiation in the infrared portion of the spectrum.  The gases in the atmosphere, primarily CO2 and water vapor are highly absorbent in the infrared part of the spectrum.  The atmosphere absorbs the infrared radiation from the Earth, preventing it from escaping to space.  Because all objects are continually emitting radiation, the atmosphere (having absorbed the Earth’s radiation) then emits radiation, some of which is then reabsorbed by the Earth’s surface.  Thus the greenhouse effect is a continuous cycle of absorption and emission of energy between the Earth and atmosphere. This causes the Earth’s atmosphere and surface to be warmer than otherwise expected.

The Second Law of Thermodynamics implies that in order to produce energy sources, entropy must be produced. On a planetary scale, this production of entropy is primarily accounted for by the absorption and re-emisson of radiation. In general, the earth radiates the same energy that it receives. (If greenhouse gases increase, then temperature increases, and higher temperatures cause the Earth to radiate more, compensating for the greater energy absorbed in the atmosphere. ) With light radiation, we find the entropy carried by the photons decreases as temperature increases, $\text{S} \propto \frac{1}{\text{T}}$. Since the Earth is cooler than the Sun, as the Earth absorbs radiation from the Sun and re-emits radiation from the Earth’s surface, there is a net production of entropy. This net production of entropy allows energy to be stored and reused, particularly in the form of chemical energy stored by cells through photosynthesis.