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

Explanation

`PV=RTrArr P=(RT)/(V)`
`VP^(2)="constant"`
`therefore" "V((RT)/(V))^(2)="constant (or) "(R^(2)T^(2))/(V)="constant"`
`(T^(2))/(V)="constant"`
`therefore" "(T.^(2))/(2V)=(T^(2))/(V) rArr T. = sqrt2T`