
Question:
At low temperatures (T<< Θr ) the rotational partition functions for ortho- and para-H2 molecules are
qr,ortho = 3e−2Θr/T + 7e−12Θr/T (1)
qr,para = 1 + 5e−6Θr/T (2)
and for equilibrium hydrogen
qr = 1 + 9e−2Θr/T (3)
Calculate the rotational contributions to the heat capacities of normal hydrogen (3:1 mixture of ortho and para) and of equilibrium hydrogen in the limit of low temperatures. What is larger?
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