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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 .

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.


 

Grade:11

2 Answers

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
11 years ago

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

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 preparation.


All the best Vinayak Pawar !!!

 


Regards,

Askiitians Experts
Soumyajit Das IIT Kharagpur

AskiitianExpert Pramod-IIT-R
47 Points
11 years ago

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 Experts
Pramod Kumar
IITR Alumni

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