Before going further, let's assume the sun can be modeled as an ideal black-body at 6000K; assume its temperature is uniform over its entire surface and that the sun is the only source providing energy to it. Then, please calculate the Earth's surface temperature for each model of the following Earth's radiative properties (you have to provide 4 solutions for following four different cases): I. Ideal black-body properties for the Earth 2. Grey-body properties with the absorption of 0.7 3. Spectrally sensitive absorption such that the absorption averaged over the sun's energy spectrum is 0.7. The reduced emissivity at longer wavelengths, due to greenhouse gases, is modeled as a decreased absorption of 0.6 averaged over wavelengths corresponding to the Earth's radiative emission 4. How much change in the latter absorption is required to heat the Earth's temperature by 2C ? Before going further, let's assume the sun can be modeled as an ideal black-body at 6000K; assume its temperature is uniform over its entire surface and that the sun is the only source providing energy to it. Then, please calculate the Earth's surface temperature for each model of the following Earth's radiative properties (you have to provide 4 solutions for following four different cases): I. Ideal black-body properties for the Earth 2. Grey-body properties with the absorption of 0.7 3. Spectrally sensitive absorption such that the absorption averaged over the sun's energy spectrum is 0.7. The reduced emissivity at longer wavelengths, due to greenhouse gases, is modeled as a decreased absorption of 0.6 averaged over wavelengths corresponding to the Earth's radiative emission 4. How much change in the latter absorption is required to heat the Earth's temperature by 2C