Calculate the temperature at which the oxygen molecules will have the same rms velocity as the hydrogen molecules at 150° C. Molecular weight of oxygen is 32 and that of hydrogen is 2.

root mean square velocity =Vrms=3RTM ;here R is universal gas constant;T is absolute temperature; M is molecular weight of gas given  root mean square velocity are equal;    V1=V2 and T1=150+273=423; T2=? M1=2; M2=32;  Therefore T∝M T1T2=M1M2substitute the given values,T2=T1M2M1=423322T2=6768Kt2=6768−273=6495∘C