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The cool air will sink and the warm air will rise.
Is it called convection?
yes
If materials get warmer, it expands; therefore the density (which is mass divided by volume) decreases.
cooler air masses sink and warmer air masses rise.
a stone will sink and a feather would rise
Convection in any fluid will occur when the lower portion is warmer than the upper portion. The less dense warm material will tend to rise while the denser cooler material will tend to sink. While the mantle is generally though of as solid, even solids can behave as viscous liquids over millions of years.
Because thing that are denser sink. Therefore, cooler rock sinks because it is denser.
It allows for the cycling of magma that is cooler than the rest to sink further down under where it's warmer and the warmer magma to rise up further because it is less dense and get cooler where the cooler magma used to be.
rise
Rise
The opposite reaction of to sink (in liquid) is to float.However the opposite motion sink (move lower) would have the opposite rise.