Compare what happens with the red dye in the water bin with what happens
to a hot air balloon surrounded by cool air.
When red dye is added to a water bin, it disperses or spreads out uniformly throughout the water. The dye particles mix with the water particles, creating a homogenous mixture. Over time, the dye molecules will continue to disperse, but they will eventually reach an equilibrium where the concentration of dye remains constant throughout the water.
On the other hand, a hot air balloon surrounded by cool air experiences a different phenomenon. Hot air balloons work on the principle that warm air is lighter than cool air. When the air inside the balloon is heated, it becomes less dense and rises above the cooler air surrounding it. As the hot air inside the balloon rises, it displaces the cooler air, creating a lifting force that allows the balloon to float. The balloon will continue to rise until the temperature inside the balloon equalizes with the temperature of the surrounding air.
So, while the red dye spreads out and reaches equilibrium in the water, the hot air balloon rises until the temperature inside the balloon matches the temperature of the surrounding air. These two processes are fundamentally different but involve the movement and interaction of substances in response to their surrounding environments.