$(a)\;3.42\times10^2 m/S\qquad(b)\;10.82 m/S\qquad(c)\;11.69\times10^4 m/S\qquad(d)\;\text{None of these}$

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- The behaviour of gases has been expressed in terms of various gas laws obtained experimentally i.e Boyle's law , Charles law , Pressure-temperature law , Dalton's law of partial pressure , Graham's law of diffusion and Avogadro's hypothesis . Later on Maxwell derived kinetic equation $PV = \large\frac{1}{3}mnu^2$ , theoretically by assuming the concept of molecules and their motion . The term u represents root mean square speed of molecule.

$U_{rms} = \sqrt{\large\frac{3RT}{m}} = \sqrt{\large\frac{3\times8.314\times300}{64\times10^{-3}}}$

$= 3.42 \times 10^2 m/S$

Hence answer is (A)

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