As the sun ages, it will cool and the amount of power it produces will decrease. if at some point in the future, this power drops such that the solar power/m^2 at the earth drops by 10% to 1250 watts/m^2, what will the surface temperature of the earth be? (assume that the fraction of sunlight absorbed by the earth's surface remains the same and that the fraction of the ir radiation emitted by the earth's surface that reaches space remains the same as it is for today (see lecture

e) if in the future, the amount of greenhouse gases in the atmosphere rise so that 10% less of the ir radiation emitted from the earth's surface is getting out through the atmosphere than at present, calculate how many degrees kelvin hotter the surface of the earth would be? (assume that the amount of clouds and other complicated stuff like that does not change.)

f) in class, we used the temperature sensor to measure the temperature of a hot piece of metal and then saw the effect of sticking a piece of glass in front of the metal.

i) if we look at earth from space with temperature probe similar to the one we used in class and measure the amount of ir radiation emitted to space by the earth, what temperature would we measure?
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ii) when the concentration of greenhouse gases increases, most of the ir radiation that escapes to space last interacted with a greenhouse gas molecule at a
lower altitude radio button higher altitude