Speed of Sound in Dry Air at 20 °C

cair=343.2 m/sc_{\mathrm{air}} = 343.2\ \text{m/s}
Value343.2 m/s
StatusMeasured: ± 0.2 m/s (0.00058 relative)
SourceCRC Handbook of Chemistry and Physics / ANSI S1.26
CategoriesMaterial PropertiesEngineering & Tradewaves
c_air in every speed unit
meter per second343.2 m/s
kilometer per hour1,235.52 km/h
foot per second1,125.9843 ft/s
mile per hour767.71654 mph
knot667.12743 kn
foot per minute67,559.055 ft/min
centimeter per second34,320 cm/s
meter per hour1,235,520 m/h
meter per day29,652,480 m/d
foot per day97,285,039 ft/d

Learning zone

Sound speed in an ideal gas is c = √(γRT/M): for dry air with γ = 1.40, R = 287.05 J/(kg·K) and T = 293.15 K, that is 343.2 m/s. The striking feature is what is missing — pressure. Raising pressure raises both stiffness and density in the same proportion, so they cancel, and sound travels at the same speed at sea level and at 10 000 m for the same temperature. Altitude changes the speed only because it is colder up there, which is why the sound barrier is a lower true airspeed at altitude.

Temperature is everything: c ≈ 331.3 + 0.606 × T(°C) m/s, so a 0 °C winter morning gives 331 m/s and a 35 °C afternoon 352 m/s. Humidity adds a little (a percent or so at saturation) because water vapour lowers the mean molar mass. Use it for the 340 m/s round trip in ultrasonic level and distance sensors — which must be temperature-compensated or they read 6 % long across a seasonal swing — for duct acoustics, and for the classic five-seconds-per-mile lightning estimate.