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# Radiative Heat Transfer: Wien's Displacement Law

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At what wavelength do the planetary bodies and Sun have their maximum emissive power? What range of the spectrum does this fall in? As the surface temperature increases, does the wavelength increase or decrease? What is the maximum temperature required for the maximum emissive power to enter the microwave range? What is the minimum temperature required for the maximum emissive power to be in the x-ray range? Assume the following for the average surface temperatures of the bodies:

Sun: 5777K
Mercury: 440K
Venus: 740K
Earth: 290K
Mars: 210K
Jupiter: 165K
Saturn: 135K
Uranus: 80K
Neptune: 75K

#### Solution Preview

At what wavelength do the planetary bodies and Sun have their maximum emissive power? What range of the spectrum does this fall in? As the surface temperature increases, does the wavelength increase or decrease? What is the maximum temperature required for the maximum emissive power to enter the microwave range? What is the minimum temperature required for the maximum emissive power to be in the x-ray range? Assume the following for the average surface temperatures of the bodies:
Sun: 5777K
Mercury: 440K
Venus: 740K
Earth: 290K
Mars: 210K
Jupiter: 165K
Saturn: ...

#### Solution Summary

This solution gives the steps for applying Wien's displacement law in radiation heat transfer to calculate the maximum emissive power of a planetary body or the sun. The location of the results in the electromagnetic wave spectrum are considered. Required temperatures to produce emissive power maximums in the x-ray range and microwave range are calculated.

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