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Jul 21, 2023 · Using the ideal gas law, the speed of sound in a gas can be determined through the formula: v = √ (γ x (RT/M)) Where: For air, which is primarily a mixture of nitrogen and oxygen, the average value of (\gamma) is 1.4. The molar mass of dry air is approximately 28.97 g/mol.
Jul 25, 2024 · This speed of sound calculator determines the speed of sound in the air and water. Not everybody knows about the sound speed dependence on the temperature – the higher the air temperature, the faster the sound can propagate.
In a fluid, the speed of sound depends on the bulk modulus and the density, v = B ρ. The speed of sound in a solid depends on the Young’s modulus of the medium and the density, v = Y ρ. In an ideal gas (see The Kinetic Theory of Gases), the equation for the speed of sound is.
While not negligible, this is not a strong dependence. At [latex]0{}^\circ \text{C}[/latex], the speed of sound is 331 m/s, whereas at [latex]20.0{}^\circ \text{C}[/latex], it is 343 m/s, less than a [latex]4\text{%}[/latex] increase. Figure shows how a bat uses the speed of sound to sense distances.
Describe the relationship between the speed of sound, its frequency, and its wavelength. Describe the effects on the speed of sound as it travels through various media. Describe the effects of temperature on the speed of sound.
The speed of sound (blue) depends only on the complicated temperature variation at altitude and can be calculated from it since isolated density and pressure effects on the speed of sound cancel each other.
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What is the speed of sound?
In a fluid, the speed of sound depends on the bulk modulus and the density, v = √B ρ. The speed of sound in a solid the depends on the Young’s modulus of the medium and the density, v = √Y ρ. In an ideal gas (see The Kinetic Theory of Gases), the equation for the speed of sound is. v = √γRTK M,