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Here is an expansion on what John Mallinckrodt said, and alsoa lot cut
explanation of some other problems.
The usual formula for the speed of sound in a gas that behaves as an
ideal gas (in terms of PV = nRT) is...
V = sqrt(gamma*R*T/M)
R is the gas constant 8.314 J/mol.K
T is Kelvin temperature
M is the molar mass in kg. For CO2 this is 0.04401 kg/mol
Ignore gamma for a minute.
If Vo is the reference velocity at the reference temperature (To),
then...
V/Vo = [sqrt(gamma*R*T/M)]/[sqrt(gamma*R*To/M)]
V/Vo = sqrt(T/To) assuming gamma, R, and M are constant.
V = Vo*sqrt(T/To)
Which the formula John M. provided.
Gamma is the ratio of specific heat at constant pressure to specific
heat at constant volume. Theoretically Cv is f/2*R where f is the