During an experiment, an ideal gas is found to obey an additional law `p//V^(2) =` constant. The gas is initially at a temperature `T` and volume `V`. Find the temperature when it expands to a volume `2V`.

Explanation

`P//V^(2) = const ant = k`
According to ideal gas equation
`PV = nR T`
`k V^(3) = n RT` (i)
`k(2 V)^(3) = n RT'` (ii)
`(ii)//(i)` .
`8 = (T')/(T)`
`T' = 8 T`