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Question

Solar radiation reaches the earths atmosphere at a rate of 1353Wm−2. If 36% of this
radiation is reflected back into space and 18% is absorbed by the earths atmosphere. The
radiant emittance is given by σT4
where σ is the Stefan-Boltzmanns constant and T is the
absolute temperature. What maximum temperature would an isolated black body on the
earths surface be expected to attain?
(σ=5.67x10−8Wm−2K−4).

A
120oC
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B
63.9oC
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C
50.7oC
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D
31.4oC
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Solution

The correct option is C 50.7oC
Of the solar radiation reaching the earths atmosphere
36% is reflected back into space
18% is absorbed by the earths atmosphere
This implies that only 46% reaches the earths surface
If absorbed by a black body, expect that the maximum temperature of this body is given by
where Isc=1353Wm2

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