Calculate the temperature the entire sky would have to be in order to transfer energy by radiation

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Calculate the temperature the entire sky would have to be in order to transfer energy by radiation at 1000 W/m2 -about the rate at which the Sun radiates when it is directly overhead on a clear day. This value is the effective temperature of the sky, a kind of average that takes account of the fact that the Sun occupies only a small part of the sky but is much hotter than the rest. Assume that the body receiving the energy has a temperature of 27.0°C.

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