An ideal gas expands in such a way that its pressure and volume comply with the condition  PV2= constant. During the process, the gas is

given PV2=constant---(1)from ideal gas equation PV=nRT⇒R=nRTV---(2)P is pressure;V is volume;n is number of moles;R is universal gas constant;T is temperaturesubstitute eqn(2) in (1)nRTVV2=constan⁡tTV=Cons⁡tan⁡tTα1V⇒V′ increases ⇒ 'T'decreases ⇒ cooled