The atmosphere of Venus can be modelled in a similar way to the Earth.
The Earth's orbital radius around the Sun is 1.5 times greater than that of Venus. The solar constant for the Earth is 1360 W m−2.
In a simple climate model for Venus, the following data is used:
- Average equilibrium temperature of Venus’s atmosphere = 250 K
- Emissivity of Venus's atmosphere, e = 0.85
- Albedo of Venus's atmosphere, a = 0.75
The observed mean surface temperature of the planet Venus is about 750 K, which is much higher than the average equilibrium temperature of Venus's surface as predicted by the simple model.
To account for the temperature difference, the model can be modified by introducing 'layers of atmosphere'. As radiation passes through each layer, the temperature of the atmosphere steadily increases. This temperature difference is represented by the equation
Where N is the number of atmospheric layers, and each layer can be assumed to absorb and emit all of the long-wave radiation it receives.
How many atmospheric layers are needed to account for the difference between the observed and predicted temperatures?