Final answer:
When a plume reaches the point where its temperature equals the temperature of the surrounding air, the smoke in the plume will disperse in all directions.
Step-by-step explanation:
When the temperature of a plume equals the temperature of the surrounding air, the overall direction of the smoke in the plume is in all directions. This is because the temperature of the plume is now the same as the surrounding air, causing the smoke particles to disperse evenly in all directions due to random thermal motion and air currents. The plume no longer has a preferential direction of travel.