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Question
Calculate the number of degrees of freedom of molecules of hydrogen in 1 cc of hydrogen gas at NTP.
Solution
As we know, the hydrogen molecule is diatomic so it contains three translational degrees of freedom and two rotational degrees of freedom.
Thus, total degree of freedom in H2 molecule = 3 + 2 = 5
The number of molecules in 1 cc
22.4 lit = 22400 cc
H2 gas at STP contains = 6.023 × 1023 molecules
1 cc H2 gas at STP contain = `6.023/22400 xx 10^23` molecules
= 2.688 × 1019
Thus, the total degree of freedom = 5 × 2.688 × 1019
= 13.440 × 1019
= 1.344 × 1020
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RELATED QUESTIONS
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