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The ratio of the specific heats C(p)/C(v...

The ratio of the specific heats `C_(p)/C_(v)=gamma` in terms of degrees of freedom (n) is given by

A

`(1+(2)/(n))`

B

`(1+(n)/(2))`

C

`(1+(1)/(n))`

D

`(1+(n)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
For n degrees of freedom, `C_(v)=(n)/(2)R`
Also, `C_(p)-C_(v)=R`
`C_(p)=C_(v)+R=(n)/(2)R+R`
`C_(p)=((n)/(2)+1)R`
`gamma=(C_(p))/(C_(v))=(((n)/(2)+1)R)/((n//2)R)=(n+2)/(n)therefore gamma=1+(2)/(n)`
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