During an experiment an ideal gas is found to obey an additional law VP2 = constant. The gas is initially at temperature T and volume V, when it expands to volume 2V, the resulting temperature is

Pv=RT=constant.                 (i) Also                 VP2=constant.                       (ii) From eqn.(i)   P=RTV from eqn.(ii)   VRTV2=constant                             R2T2V=constant      or     T2V=constant ∴                          T2V=T'22V          or                 T'2 = 2T2 ∴                           T'=2T