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(a) The temperature in the Earth's upper atmosphere is around 1000 K (it's hot due to all the UV radiation from the Sun). The escape

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(a) The temperature in the Earth's upper atmosphere is around 1000 K (it's hot due to all the UV radiation from the Sun). The escape velocity from the surface of the Moon is about 2.4km/s. Assume the moon has a hydrogen (H2) atmosphere with temperature 1000 K. What fraction of the hydrogen molecules in this atmosphere would have a speed higher than the escape velocity? :l: 10% (b) Change the gas in part (a) to nitrogen (N2). What fraction, roughly, ofthe nitrogen molecules in the moon's atmosphere would have a speed higher than the escape velocity? As your answer, give the order of magnitude: if the answer is 3 - 10 6, type in 6, if it is 8 - 10 8, type in 7. :l:1 (c) Escape velocity from the Earth's atmosphere is about 11km/s. Compute the fraction of hydrogen molecules whose speed at 1000K exceeds this escape speed. Enter your answer the same way as in part (b). :l: 1 Comment: The answer for nitrogen would have been on the order of 10 33. Do these numbers seem consistent to you with the composition of the Earth's atmosphere? Think about the fact thatr as long as the Sun is warming up the atmosphere to a constant temperature, there is always a supply of fast moving molecules corresponding to the fractions in this question. Also, the Earth's atmosphere has been around for a long time. Put 3.14 in this box tor a free point (for making it this far]

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