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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 has one vibrational mode and B has two

B

A has a vibrational mode but B has none

C

Both A and B have a vibrational mode each

D

A is rigid but B has a vibrational mode

Text Solution

Verified by Experts

The correct Answer is:
B
`(C_P)/(C_V)=((f+2)/(f))`
For `A:(29)/(22)+(f_A+2)/(f_A) implies f_A =6`
For `B:(30)/(21)=(f_B+2)/(f_B) implies f_B =5`
So the best option is b
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