At $T(\mathrm{~K})$, the $u_{\mathrm{rms}}$ of $\mathrm{CO}_2$ is $412 \mathrm{~ms}^{-1}$. What is its kinetic energy (in $\mathrm{kJ} \mathrm{mol}^{-1}$ ) at the same temperature ?

$$ \left(\mathrm{CO}_2=44 \mathrm{u}\right) $$

Identify the correct graph for an ideal gas $(y$-axis $=$ compressibility factor, $Z: x$-axis $=$ pressure, $p)$

Identify the correct statements from the following:

I. Glass is an extremely viscous liquid.

II. Increase in temperature decreases the surface tension of liquids.

III. Compressibility factor for an ideal gas is zero.

The correct equation for one mole of a real gas is $a, b$ are constants)