At what temperature will the speed of sound in hydrogen be the same aas in oxygen at `100^(@)` ? Molar Masses of oxygen and hydrogen are in the ratio `16: 1` .

Explanation

Let vel. Of sound in `H_(2)` at `t^(@)C=`vel. of sound in OXY at `100^(@)C`
`sqrt((gammaR(273+t))/(M_(Hyd)))=sqrt((gammaR(273+100))/(M_(Oxy)))`
`(273+t)/(373)=(M_(Hyd))/(M_(Oxy))=(2)/(32)=(1)/(16)`
`4368+16t=373,t=-249.7^(@)C`