Question

What is the Veocity of sound in helium if velocity of sound in oxygen is v

Answer 1

Let the volume of oxygen be V

then the volume of Hydrogen be 4V

so, total volume of mixture of Hydrogen and oxygen = 4V + V = 5V

now, mass of mixture = mass of Hydrogen + mass of oxygen

volume of mixture × density of mixture = volume of Hydrogen × density of Hydrogen + volume of oxygen × density of oxygen

5V × D = 4V × d + V × 16d [ actually, density is directly proportional to molar mass of element , so, density of Hydrogen = 16 × density of oxygen ]

Where D is density of mixture , d is the density of Hydrogen.

so, D = 4d

means , density of mixture is 4 times of density of Hydrogen .