![]() The transmission of sound can be explained using a toy model consisting of an array of balls interconnected by springs. A derivation of these equations will be given in a later section. It gives good predictions in relatively dry, cold, low pressure conditions, such as the Earth's stratosphere. This equation is correct to a much wider temperature range, but still depends on the approximation of heat capacity ratio being independent of temperature, and will fail, particularly at higher temperatures. If ideal gas γ is assumed to be 7/5 = 1.4 exactly, the 0 ☌ speed is calculated (see section below) to be 331.3 m/s, the coefficient used above. ![]() Commonly found values for the speed of sound at 0 ☌ may vary from 331.2 to 331.6 due to the assumptions made when it is calculated. The value of 331.3 m/s, which represents the 0 ☌ speed, is based on theoretical (and some measured) values of the heat capacity ratio, γ, as well as on the fact that at 1 atm real air is very well described by the ideal gas approximation. This equation is derived from the first two terms of the Taylor expansion of the following much more accurate equation: Where is the temperature in degrees Celsius (☌).
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