The specific heats, \( C_{p} \) and \( C_{V} \) of a gas of diatomic molecules, \( A \) are give...

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The specific heats, \( C_{p} \) and \( C_{V} \) of a gas of diatomic molecules, \( A \) are given (in units of \( \mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1} \) ) by 29 and 22 , respectively. Another gas of diatomic molecules \( B \), has the corresponding values 30 and 21 . If they are treated as ideal gases, then
(a) \( A \) has a vibrational mode but \( B \) has none
(b) Both \( A \) and \( B \) have a vibrational mode each
(c) \( A \) has one vibrational mode and \( B \) has two
(d) \( A \) is rigid but \( B \) has a vibrational mode
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