Which of the following is the case of an adiabatic process, where `gamma = C_(p)//C_(v)`?

Options

A. `p^(1-gamma)T^(gamma) = Constant`
B. `p^(gamma)T^(1-gamma) = Constant`
C. `pT^(gamma)= Contant`
D. `p^(gamma)T = Constant`

Answer

A

Explanation

`PV^(gamma) = K`
`P( (nRT)/(P)) ^(gamma) = K` `(because PV = nRT)`
`P^(1-gamma) T ^(gamma)` = Constant