at room temperature velocity of sound in air at 10 atmospheric pressure
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Speed of sound in air can be given by
v=
ρ
γP
, ...(1)
where γ is the adiabatic index, P is the air pressure and ρ is air density.
Now at constant temperature, P can be replaced by nRT/V and ρ by nM/V.
Thus Eq. (1) becomes
v=
M
γRT
, ...(2)
where R is molar gas constant and M is molar mass.
Hence, at constant temperature, v is independent of gas pressure
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