derive the expression for effect of pressure on velocity on sound?
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At a constant temperature, the gas pressure has no effect on the speed of sound, since the density will increase, and since pressure and density (also proportional to pressure) have equal but opposite effects on the speed of sound, and the two contributions cancel out exactly.
The equation for the speed of sound in air v=√γRTM v = γ R T M can be simplified to give the equation for the speed of sound in air as a function of absolute temperature: v=√γRTM=√γRTM(273K273K)=√(273K)γRM√T273K≈331ms√T273K. v = γ R T M = γ R T M ( 273 K 273 K ) = ( 273 K ) γ R M T 273 K ≈ 331 m s T 273 K . v=fλ.
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