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

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 molar gas constant, temperature and adiabatic index divided by the molar mass.

Formula

QuantityVariable[Subscript["v", "s"], "Speed"] == Sqrt[(Quantity[1, "MolarGasConstant"]*QuantityVariable["T", "Temperature"]*QuantityVariable["γ", "Unitless"])/QuantityVariable["M", "MolarMass"]]

symbol description physical quantity
vs speed of sound "Speed"
M molar mass "MolarMass"
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 \ Molar Mass"]
Out[1]=

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Speed of Sound in an Ideal Gas by Temperature and Molar Mass"], \ {QuantityVariable["T","Temperature"] -> Quantity[300, "Kelvins"], QuantityVariable["\[Gamma]","Unitless"] -> None, QuantityVariable["M","MolarMass"] -> Quantity[32, ("Grams")/("Moles")]}]
Out[3]=

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