help plz The temperature near the top of Saturn\'s cloud layer is about 110K. Th

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help plz

The temperature near the top of Saturn's cloud layer is about 110K. The temperature at the top of the earth's troposphere, at an altitude of about 20km, is about 220K. Calculate the rms speed of hydrogen (H2) molecules in both these environments. Give your answers in m/s and as a fraction of the escape speed from the respective planet. Hydrogen gas is a rare element in the earth's atmosphere. In the atmosphere of Saturn, by contrast, 96% of all molecules are H2. Explain why. Suppose an astronomer claims to have discovered an oxygen (O2) atmosphere on the Moon. How likely is this to be true? The Moon has a surface temperature of about 220K near its equator.

Explanation / Answer

THE RMS SPEED FOR MOLECULES IS SQRT[3*RT/M ]......WHERE THE R IS UNIVERSAL GAS CONSTANT T IS TEMP IN kELVIN AND M is the molecular mass in Kg...putting these values we get the rms speed on saturn to be 828.19 m/s and on earth to be 1174.24 m/s. the rms of h2 is more in earth so its atmosphere does not contain so much fraction of h2 as compared to saturn....the rms value of velocity of oxygen on moon surface is 414.096 m/s .....

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