Editing Speed of sound (section)

==Dependence on the properties of the medium==
The speed of sound is variable and depends on the properties of the substance through which the wave is travelling. In solids, the speed of transverse (or shear) waves depends on the shear deformation under [[shear stress]] (called the [[shear modulus]]), and the density of the medium. Longitudinal (or compression) waves in solids depend on the same two factors with the addition of a dependence on [[compressibility]]{{Source?|date=May 2025}}.

In fluids, only the medium's compressibility and density are the important factors, since fluids do not transmit shear stresses. In heterogeneous fluids, such as a liquid filled with gas bubbles, the density of the liquid and the compressibility of the gas affect the speed of sound in an additive manner, as demonstrated in the [[hot chocolate effect]].

In gases, adiabatic compressibility is directly related to pressure through the [[heat capacity ratio]] (adiabatic index), while pressure and density are inversely related to the temperature and molecular weight, thus making only the completely independent properties of ''temperature and molecular structure'' important (heat capacity ratio may be determined by temperature and molecular structure, but simple molecular weight is not sufficient to determine it).

Sound propagates faster in low [[molecular weight]] gases such as [[helium]] than it does in heavier gases such as [[xenon]]. For monatomic gases, the speed of sound is about 75% of the mean speed that the atoms move in that gas.

For a given [[ideal gas]] the molecular composition is fixed, and thus the speed of sound depends only on its [[temperature]]. At a constant temperature, the gas [[pressure]] has no effect on the speed of sound, since the density will increase, and since pressure and [[density]] (also proportional to pressure) have equal but opposite effects on the speed of sound, and the two contributions cancel out exactly. In a similar way, compression waves in solids depend both on compressibility and density—just as in liquids—but in gases the density contributes to the compressibility in such a way that some part of each attribute factors out, leaving only a dependence on temperature, molecular weight, and heat capacity ratio which can be independently derived from temperature and molecular composition (see derivations below). Thus, for a single given gas (assuming the molecular weight does not change) and over a small temperature range (for which the heat capacity is relatively constant), the speed of sound becomes dependent on only the temperature of the gas.

In non-ideal gas behavior regimen, for which the [[Van der Waals equation|Van der Waals gas]] equation would be used, the proportionality is not exact, and there is a slight dependence of sound velocity on the gas pressure.

Humidity has a small but measurable effect on the speed of sound (causing it to increase by about 0.1%–0.6%), because [[oxygen]] and [[nitrogen]] molecules of the air are replaced by lighter molecules of [[water]]. This is a simple mixing effect{{Source?|date=May 2025}}.