Speed of Sound by Temperature
Calculate the speed of sound in (dry) air from temperature. Uses the ideal-gas relation c = √(γ · R · T) with γ≈1.4 and R=287.05 J/(kg·K). Also shows the common linear approximation around room temperature.
Advanced constants (γ and R)
For dry air at ~20 °C, γ≈1.4 and R≈287.05. Humidity slightly modifies γ and R, increasing c by ~0.1–0.6% for typical indoor RH.
Ideal-gas model (recommended)
c (m/s)
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km/h
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mph
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kn
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Linear approximation
c ≈ 331.3 + 0.606 · T°C (m/s)
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Examples: at 0 °C → ~331.3 m/s; at 20 °C → ~343 m/s; at 25 °C → ~346 m/s.
Notes: For an ideal gas, c depends on temperature only (not pressure). Humidity and CO₂ content slightly change the result through γ and R. Linear formula is accurate within a few m/s near 0–30 °C.
Asted Cloud
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