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The medium of a sound wave is the material or substance through which the wave propagates or travels. Sound waves require a medium to propagate because they are mechanical waves, which means they rely on the physical interaction of particles in the medium to transmit energy.

The medium can be any substance that can support the transmission of sound waves, including gases (such as air), liquids (such as water), and solids (such as walls or floors). In each of these mediums, sound waves propagate by causing particles to vibrate or oscillate in a back-and-forth motion.

In gases, sound waves propagate through the compression and rarefaction of air particles. When a sound source, such as a vibrating object or a speaker, creates a disturbance, it compresses the adjacent air particles, creating a region of high pressure or compression. This compression then propagates through the air as a series of successive compressions and rarefactions, forming a sound wave.

In liquids and solids, sound waves propagate through similar mechanisms. The particles in these mediums are denser and more closely packed than in gases, which allows sound waves to travel faster. In liquids, such as water, the particles are relatively free to move and transmit the sound energy. In solids, such as a metal rod or a wall, the particles are tightly bound and transmit sound through their interactions with neighboring particles.

It's important to note that in a vacuum, which is an absence of matter, sound waves cannot propagate because there are no particles for the waves to interact with and transmit energy. This is why sound cannot travel through space, which is mostly a vacuum.

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