An ideal gas mixture filled inside a balloon expands according to the relation PV^(2/3) = constant. What is the temperature inside the balloon.

An ideal gas mixture filled inside a balloon expands according to the

1.	An ideal gas mixture filled inside a balloon expands according to the relation PV^(2/3) = constant. What is the temperature inside the balloon.
Answer» Solution :`PV^(2//3) = "CONSTANT" rArr (PV^(2//3))/(PV)=(constant)/(RT) or 1/V^(1/3)="constant"/(RT) rArr V prop T^(3)` TEMPERATURE increases with INCREASE in volume.