Question

In: Physics

Why there is a specific sound velocity in air atmosphere? Please, for better understanding I need...

Why there is a specific sound velocity in air atmosphere?

Please, for better understanding I need a detailed description. May be some examples in nature, schemes, and some description based on basic relations. I want to understand it very well. Would be nice to get some additional sources to read (books or articles).

Solutions

Expert Solution

speed of sound:

It is the distance travelled per unit time by a sound wave as it propagates through an elastic medium.

Generally, the speed of sound in air is about 343 m/s.

The speed of sound is based on the molecular collisions and the state of the gas. The speed of sound is a constant within a given gas and the value of the constant depends on the type of gas (pure oxygen,air, carbon dioxide, Nitrogen.) and its temperature of the gas.

Example:

The speed of the sound is very high in metals as compaired to the air because the collision of the molecules in the metals is more frequent than the air.

The mathematical expression for the speed of the sound.

v = sqrt( γ *R*T)

Here, γ is the ratio of the specific heats (for air 1.4 at STP),R is the gas constant (for air R = 286 m^2/s^2/K ) and T is the absolute temperature of the air.

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