Final answer:
When both the pressure and the Kelvin temperature of a gas inside a balloon are tripled, the volume of the balloon remains constant because the opposing effects on volume cancel each other out.
Step-by-step explanation:
The question pertains to the behavior of gases under changes in temperature and pressure, which is described by the ideal gas law and can be approached using Gay-Lussac's law for constant volume processes and Charles's law for constant pressure processes.
Specifically, you'r looking at a change that involves both pressure and temperature affecting a gas within a balloon.
When both the pressure and Kelvin temperature of an initially 2.00 L argon-filled balloon are tripled, the volume of the balloon remains constant.
This is because while increasing the temperature tends to increase the volume, increasing the pressure tends to decrease the volume.
If both changes are proportional and happen simultaneously, the volume stays the same according to the combined gas law.