Q.

The root mean square speed of molecules of nitrogen gas at 27°C is approximately: 

(Given mass of a nitrogen molecule =4.6×10-26 kg and take Boltzmann constant kB=1.4×10-23 JK-1)          [2023]

1 523 m/s  
2 1260 m/s  
3 91 m/s  
4 27.4 m/s  

Ans.

(1)

Vrms=3kBTm=3×1.4×10-23×3004.6×10-26=523 m/s