Speed of sound in ideal gas

Also known as the Laplace’s formula of the speed of sound, it provides a correct expression for the speed of sound for ideal gases compared to the Newton’s formula. See Isentropic speed of sound.

Notation:

1. \(R\) (R) is molar_gas_constant.

Links:

1. Wikipedia.

speed_of_sound

speed of sound in gas.

Symbol:

v_s

Latex:

\(v_\text{s}\)

Dimension:

velocity

temperature

temperature of the gas.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

heat_capacity_ratio

Heat capacity ratio, or adiabatic_index, of the gas.

Symbol:

gamma

Latex:

\(\gamma\)

Dimension:

dimensionless

molar_mass

molar_mass of the gas.

Symbol:

M

Latex:

\(M\)

Dimension:

mass/amount_of_substance

law

v_s = sqrt(gamma * R * T / M)

Latex:

\[v_\text{s} = \sqrt{\frac{\gamma R T}{M}}\]