At 133.33 K . the rms velocity of an ideal gas is $$ \left(M=0.083 \mathrm{~kg} \mathrm{~mol}^{-1} ; R=8.3 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right) $$

Identify the correct statements from the following I. For an ideal gas, the compressibility factor is 1.0 II. The kinetic energy of $\mathrm{NO}(g)$ (molar mass $=30 \mathrm{~g} \mathrm{~mol}^{-1}$ ) at $T(\mathrm{~K})$ is $x \mathrm{~J} \mathrm{~mol}^{-1}$. The kinetic energy of $\mathrm{N}_2 \mathrm{O}_4(g)\left(\right.$ molar mass $\left.=92 \mathrm{~g} \mathrm{~mol}^{-1}\right)$ at $T(\mathrm{~K})$ is $2 x \mathrm{~J} \mathrm{~mol}^{-1}$ III. The rate of diffusion of a gas is inversely proportional to square root of its density.

The following graph is obtained for a gas at different temperatures $\left(T_1, T_2, T_3\right)$. What is the correct order of temperature? $(x$-axis $=$ velocity, $y$-axis $=$ number of molecules)

RMS velocity of one mole of an ideal gas was measen at different temperatures. A graph of $\left(\mu_{\mathrm{ma}}\right)^{-2}$ (on $Y$-sdi) and $T(\mathrm{~K})$ ( on $X$-axis) gave straight line passing through the origin and its slope is $249 \mathrm{~m}^2 \mathrm{~s}^{-2} \mathrm{~K}^{-1}$. What is the molar mass ( in kg mol${ }^{-1}$ ) of ideal gas? $ \left(R=83 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right) $