The speed of sound in hydrogen gas at N . T . P is 1328   ms - 1 . If the density of hydrogen is 1 16 t h of that of air, then the speed of sound in air at N . T . P is

Step-by-step solution

Here, v H 2 = 1328 m s − 1 ; ρ H 2 = ρ a i r 16 ; v = γ P 8 Let v air be the velocity of sound in air at N .T .P N o w , v a i r v H 2 = ρ H 2 ρ a i r Since γ H 2 = γ a i r o r v a i r = v H 2 ρ H 2 ρ a i r o r v a i r = 1328 ρ a i r 16 ρ a i r = 1328 1 16 = 1328 4 = 332 m s − 1