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Each molecule of a gas has F degrees of ...

Each molecule of a gas has F degrees of freedom . The ratio `(C_(p))/(C_(V))=gamma` for the gas is

A

`1+2/f`

B

`1/2+f`

C

`1+f/2`

D

`(1+f)/2`

Text Solution

Verified by Experts

The correct Answer is:
A
If the gas has f degrees of freedom, then `C_(V)=f/2RandC_(P)=C_(V)+R`
`=f/2R+R=R(f/2+1)`
`thereforegamma=C_(P)/C_(V)=(R(f/2+1))/(R(f/2))=1+1/(f/2)=1+2/f`
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