The speed of sound in hydrogen at N.T.P. is 1270 metre per second. Then the speed in a mixture of hydrogen and oxygen containing hydrogen and oxygen in the ratio 4 : 1 by volume, will be

Let V =volume of oxygen in mixture, and 4 V = volume of hydrogen in mixture the density of mixture d m is given by ym=4V×2+V×325V=8  density of mixture is four times that of hydrogen Now V∝(1/d)1/2  V1M1 =V2M2 1270 2  =V28 Velocity of mixture =1270/(4)1/2=635m/s