An ideal gas consists of rigid diatomic molecules. How will a diffusion coefficient `D` and viscosity coefficient `eta` change and how many times if the gas volume is decreased adiabatically `n = 10` times ?

Explanation

`D alpha V sqrt(T), eta alpha sqrt(T)`
In an adiabatic process
`TV^(gamma - 1) = constant`, or `T alpha V^(1 -gamma)`
Now `V` is decreased `(1)/(n)` times. Thus
`D alpha V^((3 - gamma)/(2)) = ((1)/(n))^((3 - gamma)/(2)) = ((1)/(n))^(4//5)`
`eta alpha of V^((1 - gamma)/(2)) = ((1)/(n))^(-1//5) = n^(1//5)`
So `D` decrease `n^(4//5)` times and `eta` increase `n^(1//5)` times.