In an adiabatic change, the pressure p and temperature T of a diatomic gas are related by the relation `ppropT^alpha`, where `alpha` equals

Options

A. `(5)/(3)`
B. `(2)/(5)`
C. `(3)/(5)`
D. `(5)/(2)`

Answer

D

Explanation

For adiabetic charge
`(T^(gamma))/(P^(gamma-1))=`constant
`T^(gamma)propP^(gamma-1)`
`T^((gamma)/(gamma-1))proP`
`PpropT^((gamma)/(gamma-1))`
`PpropT^C`
`c=(gamma)/(gamma-1)=(5//3)/((5)/(3)-1)=(5)/(2)`