$(a)\;1\qquad(b)\;10\qquad(c)\;100\qquad(d)\;1000$

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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.

$U_{rms} = \sqrt{\large\frac{3RT}{m}}$

$\therefore 3\times \sqrt{R} = \sqrt{\large\frac{3RT}{m}}$

or $9R = \large\frac{3RT}{m}$

or $m = \large\frac{3\times300}{9}$

$100 Kg mol^{-1}$

Hence answer is (C)

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