Speed of Sound in Gas

v = \frac{γ R T}{M}

Speed of sound depends on temperature and gas properties.

Variables

v

Sound speed

Speed of sound

m/s

γ

Heat capacity ratio

C_p/C_v

unitless

R

Gas constant

8.314

J/(mol·K)

T

Temperature

Absolute temperature

K

M

Molar mass

Molecular mass

kg/mol

Derivation

v = √(γP/ρ) = √(γRT/M) using ideal gas law.

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