If the speed of sound through hydrogen is 1280 m/s, what will be the speed of sound (in m/s) through a mixture of 4 parts by volume of hydrogen and 1 part of oxygen? Given density of oxygen is 16 times that of hydrogen

If V is the volume of the mixture,Volume of hydrogen =45VAnd volume of oxygen =15VMass of oxygen =15VρO=V516ρH as ρO=16ρHTotal mass of the mixture, mmix =45VρH+V516ρH=4VρHDensity of mixture, ρm=4VρHV=4ρHThus, vmvH=ρHρm=14=12or vm=12vH=12×1280=640 m/s