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1. At what temperature the mean speed of the molecules of hydrogen gas equals the escape speed from the earth
2. Estimate the number of collisions per second suffered by a molecule in a sample of hydrogen gas at STP. The mean free path (average distance covered by a molecule between two successive collisions )=1.38×10-5.
Dear Vinayak Pawar,
Solution of Question no 1:
Let at temp T K it happens hence the equation is
√(8RT/∏M)=√(2GMe/Re)
where Re=radious of the earth.
Me=mass of the earth.
M=molar mass of H2.
solving we get T=11810.1 degree
=12083.1 K
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All the best Vinayak Pawar !!!
Regards,
Askiitians ExpertsSoumyajit Das IIT Kharagpur
Dear Mr. Vinayak Pawar,Solution of Question no 1:Let at temp T K it happens hence the equation is
√(8RT/∏M)=√(2GMe/Re)where Re=radious of the earth; Me=mass of the earth; M=molar mass of H2.solving we get T=11810.1 degree=12083.1 K
Please feel free to post as many doubts on our discussion forum as you can.If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.We are all IITians and here to help you in your IIT JEE & AIEEE preparation.All the best. Regards,Askiitians ExpertsPramod KumarIITR Alumni
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