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

Step-by-step solution

The velocity of sound in a gas at a fixed temperature is given by v= R T M where, = ( C_ p C_ V ) is specific heat ratio and M is the molecular mass of the gas. Let, velocity of sound in hydrogen, v₁= R T M₁ Velocity of sound in oxygen, v₂= R T M₂ Let, M₁ and M₂ be the molecular mass of hydrogen and oxygen respectively n₁ and n₂ be the moles of hydrogen and oxygen, respectively. Molecular mass of the mixture, M_ mix = n₁ M₁+n₂ M₂ n₁+n₂ According to the question, n₁=n₂ at given NTP. (given) u _ aix = 2 R T 17 M₁ The