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Why can't diffusion happen in solids?

Answer
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Hint: Diffusion is defined as the migration of a chemical from a high-concentration area to a low-concentration area. Diffusion happens when particles in liquids and gases collide and spread out randomly. Diffusion is the mechanism through which chemicals flow into and out of cells in living things.

Complete answer:
Gaseous diffusion
Differences in concentration drive diffusion. When perfume or other chemical substances are released into a room, their particles mix with the air particles. The odorous gas particles are free to move about in all directions. They eventually spread across the space, moving from a high-concentration area to a low-concentration area. This process is repeated until the concentration of odorous gas particles is uniform across the room. Even though the smell is equally distributed, keep in mind that the particles are constantly moving.
In liquids, diffusion occurs.
Diffusion can occur in liquids as well. Because particles in liquids may flow around and around each other, they eventually get evenly mixed.
Potassium manganate(VII), for example, is a purple solid. When you drop a crystal into a jar of water, the purple colour gently spreads across the water. This is accomplished through diffusion.
If someone is cooking in the kitchen, the aroma spreads throughout the house. This is due to diffusion, which is the transfer of particles from a high-concentration area to a low-concentration one. The particles must be able to move around for diffusion to work. Diffusion does not occur in solids because the particles in a solid can only vibrate and cannot migrate from one location to another.

Note:
Gas particles move incredibly swiftly (at ambient temperature, air particles move at 500 m/s on average). A fragrance, on the other hand, does not travel as quickly. This is due to the high frequency at which its particles smash with each other and with air particles. When they collide, they shift directions at random, thus getting from one point to another takes much longer. Brownian motion describes their random motion as a result of collisions.