When the Sun becomes a red giant, it's luminosity will be 2000 times its current value. The solar flux at Earth will also increase by a factor of 2000. Neglecting the greenhouse effect, the surface temperature of the earth is determined by thermal equilibrium: the flux of radiation absorbed equals the flux of radiation emitted. This means the Earth's surface flux must also increase by a factor of 2000.  If the current average surface temperature is 58 degrees F, what will the average surface temperature be when the Sun is a red giant

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When the Sun becomes a red giant, it's luminosity will be 2000 times its current value. The solar flux at Earth will also increase by a factor of 2000. Neglecting the greenhouse effect, the surface temperature of the earth is determined by thermal equilibrium: the flux of radiation absorbed equals the flux of radiation emitted. This means the Earth's surface flux must also increase by a factor of 2000.  If the current average surface temperature is 58 degrees F, what will the average surface temperature be when the Sun is a red giant. 

Express your answer in units of degrees Fahrenheit. 

[Hint: Recall that the Stefan-Boltzmann law says that the flux F emitted by a blackbody is related to its surface temperature T (measured in Kelvins) is F=σT4  . Use this law in the form of a ratio, expressing T in Kelvins. Then convert back to Fahrenheit.]

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