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The speed of sound can be obtained easily for the equation
of state for an ideal gas (also perfect gas as
a sub set) because of a simple mathematical expression.
The pressure for an ideal gas can be expressed as a
simple function of density,
, and a function
``molecular structure'' or ratio of specific heats,
namely

The solution can be estimated by using the data from
steam table^{3.3}
At and : s = 6.9563 = 6.61376 At and : s = 7.0100 = 6.46956 At and : s = 6.8226 = 7.13216
After interpretation of the temperature:
for ideal gas assumption (data taken from Van Wylen and Sontag, Classical Thermodynamics, table A 8.)
Note that a better approximation can be done with a steam table, and it will be part of the future program (PottoGDC). 
Solution
The temperature is denoted at ``A'' as
and temperature in ``B'' is
.
The distance between ``A'' and ``B'' is denoted as
.
Where the distance is the variable distance. It should be noted that velocity is provided as a function of the distance and not the time (another reverse problem). For an infinitesimal time is equal to integration of the above equation yields For assumption of constant temperature the time is Hence the correction factor
This correction factor approaches one when . 