Question

The velocity of sound in hydrogen is 1224 m/s. Its velocit in a mixture of hydrogen and oxygen containing 4 parts by volume of hydrogen and 1 part oxygen is(a) 1224 m/s(b) 612 m/s(c) 2448 m/s(d) 306 m/s

Answer 1

Given :

The velocity of sound in hyrogen = 1224 m/s

To find :

The velocity of air in a mixture of hydrogen and oxygen

Solution :

• We have the relation v∝1/√ρ

• Density of hydrogen = 2

• Density of mixture  = ρmix = [4(2) + 1(32)]/4+1

                   = 8

• vmix/v = √(ρ/ρmix)

• vmix = v×√(ρ/ρmix)

        = v/2 = 612m/s

The velocity of the air mixture is 612m/s