Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is

Step-by-step solution

Let one mole of each gas has same volume as V . When they are mixed, then density of mixture is aligned _ mixture & = mass of O ₂+ mass of H ₂ volume of O ₂+ volume of H ₂ & = 32+2 V+V = 34 2 V = 17 V aligned Also, _ H ₂ = 2 V aligned Now, velocity v & = ( P )^ 1 / 2 or v 1 v_ mixture v_ H ₂ & = ( _ H ₂ _ mixture ) & = ( 2 / V 17 / V ) = ( 2 17 ) aligned