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

Options

A. `(1+(1)/(n))`
B. `(1+(n)/(3))`
C. `(1+(2)/(n))`
D. `(1+(n)/(2))`

Answer

C

Explanation

The specific heat of gas at constant volume in terms of degree of freedom n is
`C_(v)=(n)/(2)R`
`"Also"," " C_(p)-C_(v)=R`
`"So" " " C_(p)=(n)/(2)R+R=R(1+(n)/(2))`
`"Now"," " gamma=(C_(p))/(C_(v))=(R(1+(n)/(2)))/((n)/(2)R)=(2)/(n)+1`