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Speed of sound calculator

Estimate sound speed in dry air from temperature, or invert the approximation to find temperature. Switch between Celsius, Fahrenheit and kelvins.

Calculator

Sound speed
343.215
Air temperature
20

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How this calculator works

For dry air with nearly fixed composition and heat-capacity ratio, sound speed varies with the square root of absolute temperature. This approximation is anchored at 331.3 m/s at 0 C and uses kelvins internally. It is most useful near ordinary atmospheric temperatures. Humidity, changing composition and temperature-dependent heat capacities are excluded, so extreme-temperature results are only mathematical extrapolations.

Formula

c = 331.3 sqrt(TK/273.15) m/s; TK = 273.15 (c/331.3)². TK = TC + 273.15.

Worked example

At 0 C, the model gives 331.3 m/s. At 20 C it gives about 343.215 m/s. A mathematical doubling of speed corresponds to four times the absolute temperature.

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Frequently asked questions

Does pressure change the result?

At fixed temperature and composition an ideal gas sound speed is independent of pressure.

Can I enter a negative Celsius temperature?

Yes, provided its absolute temperature remains above zero kelvins.

Does this apply to water or steel?

No. Liquids and solids need their own density and elastic properties.

Sources

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