Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increase as `V^q`, where V is the volume of the gas. The value of q is : `(gamma=(C_p)/(C_v))`

Options

A. `(gamma+1)/(2)`
B. `(gamma-1)/(2)`
C. `(3gamma+5)/(6)`
D. `(3gamma-5)/(6)`

Answer

A

Explanation

`trianglet -(trianglel)/(v)`
`TV^(gamma-1)=C` ,brgt `T=CV^(-gamma+1)`
`trianglet propto VT^(-1//2)`
`=VxxCV^((gamma-1)/(2))`
`=V^(1+(gamma-1)/(2))`
`=V^((gamma+2)/(2))`