The r.m.s. velocity of hydrogen at S.T.P. is ' u ' m / s . If the gas is heated at constant pressure till its volume becomes three times, then the final temperature of the gas and the r.m.s. speed are respectively

Step-by-step solution

As the process is adiabatic, array rlrl & & V₂ V₁ & = T₂ T₁ 3 V₁ V₁ = T₂ T₁ & 3 T₁ & =T₂ & T₂ & =3 273=819 ~K array Also, aligned & V _ rms = 3 RT M ₀ & ~V _ rms ~T & ~V _ rms ^ V _ rms = T ₂ ~T ₁ aligned V _ rms ^ = V _ rms 819 273 = 3 um / s ( given V _ rms = u )