The most probable speed of $O_2$ molecules at $T \ K$ is

The average speed $(u_{avg})$ of $O_2$ gas at $\pi \times 10 \ bar$ pressure in an $8 \ m^3$ container containing $2 \ moles$ is:

Identify the correct labels of $A$,$B$,and $C$ in the following graph from the options given below.
Root mean square speed $(V_{rms})$; most probable speed $(V_{mp})$; Average speed $(V_{av})$

The root mean square velocity of an ideal gas at constant pressure varies with density $(d)$ as:

At what temperature $K$ will the $rms$ speed of $SO_2$ gas be equal to the $rms$ speed of $O_2$ gas at $303 \ K$?

Let $(C_{rms})_{H_2}$ be the r.m.s. speed of $H_2$ at $150 \ K$. At what temperature will the most probable speed of helium $[(C_{mp})_{He}]$ be half of $(C_{rms})_{H_2}$ (in $K$)?