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Speed of Sound in an Ideal Gas by Temperature and Mass of Molecule

The speed of sound is the distance traveled per unit time by a sound wave as it propagates through an elastic medium.

The speed of sound equals the square root of the product of the Boltzmann constant, temperature and adiabatic index divided by the mass of a molecule.

Formula

QuantityVariable[Subscript["v", "s"], "Speed"] == Sqrt[(Quantity[1, "BoltzmannConstant"]*QuantityVariable["T", "Temperature"]*QuantityVariable["γ", "Unitless"])/QuantityVariable["m", "Mass"]]

symbol description physical quantity
vs speed of sound "Speed"
m mass of a molecule "Mass"
T temperature "Temperature"
γ adiabatic index "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Speed of Sound in an Ideal Gas by Temperature and \ Mass of Molecule"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject[ "Speed of Sound in an Ideal Gas by Temperature and Mass of \ Molecule"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Speed of Sound in an Ideal Gas by Temperature and Mass of \ Molecule"], {QuantityVariable["T","Temperature"] -> Quantity[300, "Kelvins"]}]
Out[3]=

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