Question -
Answer -
All the three vessels have the same capacity, they have the samevolume.
So, each gas has the same pressure, volume and temperature
According to Avogadro’s law, the three vessels will contain anequal number of the respective molecules.
This number is equal to Avogadro’s number, N = 6.023 x 1023.
The root mean square speed (Vrms) of a gas of mass m and temperature T is given bythe relation:
Vrms = √3kT / m
Where,
k is Boltzmann constant
For the given gases, k and T are constants
Therefore, Vrms dependsonly on the mass of the atoms, i.e., Vrms ∝ (1/m)1/2
Hence, the root mean square speed of the molecules in the threecases is not the same.
Among neon, chlorine and uranium hexafluoride, the mass of neonis the smallest.
Therefore, neon has the largest root mean square speed among thegiven gases.