Question

write down the equation of velocity of sound on air derived from the dimensional analysis and hence derive the Newton s formula for the velocity of sound in air​

Answer 1

Answer:

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 .