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The specific heats, C(P) and C(V) of a g...

The specific heats, `C_(P)` and `C_(V)` of a gas of diatomic molecules, A are given (in units of `Jmol^(-1) 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 is rigid but B has a vibrational mode

B

Both A and B have a vibrational mode each

C

A has on vibrational mode and B has two

D

A has a vibrational mode but B has none

Text Solution

Verified by Experts

The correct Answer is:
D
For A
`R = C_(P) - C_(V) = 7`
`C_(V) = (FR)/(2) = 22 implies f = (44)/(7) = 6.3`

For B
`R = C_(P) - C_(V) = 9`
`C_(v) = (fR)/(2) = 21 implies f = (42)/(9)`
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