Question

Physics problem I need help with!

The average temperature of the surface of the Earth is approximately 14°C. What would the steady-state temperature of the Earth be if there were no greenhouse effect — i.e. if the emissivity of the earth was independent of wavelength? Provide answer in °C. Note that the radius of the Earth is 6.38×10^6 m, and the intensity of sunlight at the Earth’s location is 1366 W/m^2. (Hint, how much power from the sun would strike a plate with the same radius as the Earth? How does that power compare to the power that hits the Earth? Another hint — I didn’t give you an emissivity. Just all it $\epsilon$ , and if you remember that absorptivity and emissivity are the same, it will cancel out.)

Answer 1

Heat inteming to ear Pin (1-a).7T where, a 0.s lalledo J. teat ut gor om Rah 4 4 6Te As absurptivity emmisivihy Prut Pin 6 Te 4e 1-a)s 4, Te 4 -0.3) X/366 2.55 X/0 2 55 k