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The speed of sound c in air under normal conditions is only dependent on the temperature. It is independent of the air pressure p.
Reason: The air pressure p and the air density rho are proportional to each other at the same temperature. Hence, the speed of sound in air, which depends on the ratio of p to rho, is constant. Therefore the speed of sound in air is the same on a mountain peak as it is at sea level, provided that the temperature is the same.

On the other hand, if you change from one gas to another, the speed will depend on density. For example, Argon gas and Helium gas at the same temperature and pressure will have very different densities and this will result in very different speeds for sound. In that case, the speed of sound is proportional to the inverse of the square root of the molecular mass. For more details see the related links.

The speed of sound in solids will be much faster than in a liquid, but there is no simple relationship to the density in that case. For example, iron and aluminum have very different densities, but almost the same speed for sound.

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Related Questions

Why does the speed of sound depend on air tempersture?

The speed of sound through a medium depends on the density of the medium and the density of air is affected by temperature.


What does the speed of sound not depend on?

The speed of sound does not depend on the wavelength or frequency of the sound wave. It is mainly determined by the properties of the medium it travels through, such as temperature and density.


Which type of factor does the speed of a sound in a material depend?

There are two factors if it is a metal. Those are elasticity and density.


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How does sound intensity decrease due to density of a substance it passes through?

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What is the derivation of the speed of sound in a medium?

The speed of sound in a medium is derived from the properties of the medium, such as its density and elasticity. It is calculated using the formula: speed of sound square root of (elasticity / density).


What factor will increase the speed of a sound wave in the air?

Speed of sound would increase as the temperature of the air increases Speed of sound increases as humidity of air increases Speed of sound is affected by the density of the air. As density increases velocity of sound decreases


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As a rule the speed of sound increases with increasing density of the medium.


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