Answer :

__All the three vessels have the same capacity, which implies they have the same volume. Thus, each gas has the same pressure, volume, and temperature. According to Avogadro’s law, the three vessels will contain an equal number of the respective molecules.__

Which is equal to Avogadro’s number, N_{A} = 6.023 × 10^{23}.

The root mean square speed (V_{rms}) of a gas of mass m, and temperature T, is given by the relation:

mV_{rms}^{2} = k_{B}T

⇒ V_{rms} =

where, k_{B} is Boltzmann constant For the given gases, k and T are constants. Hence V_{rms} depends only on the mass of the atoms, i.e., V_{rms}∝

__The root mean square speed of the molecules in the vessels is not the same. The mass of neon is the smallest. Hence, neon has the largest root mean square speed among the given gases.__

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