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Motion In Straight Line

Question
CBSEENPH11017760

Why does hydrogen gas escape faster than oxygen from the earth’s atmosphere?

Solution
Root mean square velocity of gas molecule is given by, 
                    straight v subscript straight r equals square root of fraction numerator 3 kT over denominator straight m end fraction end root 
i.e.               space space space straight v subscript straight r proportional to square root of 1 over straight m end root 
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∴                space space straight v subscript hyd equals 4 space straight v subscript oxy 
That is, escape velocity of hydrogen is 4 times that of the escape velocity of oxygen gas. 
Hence, hydrogen gas has more tendency to escape than oxygen from the Earth's atmosphere.