calculate the velocity of sound in air at 25 degree celsius and 75 cms of mercury pressure, if the density of air at 0 degree celsius and 76 cms of mercury pressure is 1.29 kg/m3 (g air=1.41)

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Solution

Dear Student,
$P M = ρ R T t h i s i s t h e g a s e q n i n d i f f e r e n t f o r m w h e r e M i s t h e m o l e c u l a r m a s s o f g a s a n d t h e ρ i s d e n s i t y . \frac{75}{76} = \frac{(273 + 25) \times ρ}{273 \times 1.29} = 1.17 k g / m^{3} γ = 1.41 i s t h e g a m m a f o r a i r P = 75 c m o f h g = h ρ_{h g} g = 0.75 \times 13600 \times 10 = 102000 p a, I h a d c o n v e r t t h e p r e s s u r e i n p a s c a l . v = \sqrt{\frac{γ P}{ρ}} = \sqrt{\frac{1.41 \times 102000}{1.17}} = 350.6 m / s R e g a r d s$

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