During an adiabatic process, the pressure of a gas is found to be proportional to cube of its absolute temperature. The poision's ratio of gas is:

Options

A. `3//2`
B. `7//2`
C. `5//3`
D. `9//7`

Answer

A

Explanation

For adiabatic process `T^(gamma)P^((1-gamma))` =constant
or `T^(gamma)(T)^(3(1-gamma))`=constant (`:'PpropT^(3)`)
or `T^(3-2gamma)=`constant
`:. 3-2gamma=0`
or `gamma=3/2`