Seema Saini Solutions for Chapter: States of Matter, Exercise 4: DPP 4.4

The relative ratio of ${\mathrm{u}}_{\mathrm{rms}}:{\mathrm{u}}_{\mathrm{av}}:{\mathrm{u}}_{\mathrm{mp}}$  at a given temperature is:

The most probable speed of an ideal gaseous molecules at $27°\mathrm{C}$ is $0.3 \mathrm{m} {\mathrm{s}}^{-1}$. The average speed at $927°\mathrm{C}$ would be 

The root square speed of a gaseous molecule is given as ${\mathrm{u}}_{\mathrm{rms}}=\sqrt{3\mathrm{p}/\mathrm{\rho }}$. This shows that at a given temperature

Which of the following expressions correctly represents the relationship between the average kinetic energy of $\mathrm{CO}$ and ${\mathrm{N}}_2$ molecules at the same temperature? 

A mixture containing $\mathrm{Ne}$ and $\mathrm{Ar}$ in a vessel at $250 \mathrm{K}$ has a total translation kinetic energy$=3 \mathrm{kJ}$. The total mass of mixture is $30 \mathrm{g}$. What is the mass $\%$ of $\mathrm{Ar}$ in mixture? 

Which of the following graphs is in accordance with the Maxwell distribution of molecular velocities and its dependence on temperature? 

Fraction of molecules are plotted against velocity of molecules, according to Maxwell-Boltzmann distribution law. The velocity corresponding to the points $\mathrm{X}, \mathrm{Y}$ and $\mathrm{Z}$ are:

Here,

 ${\mathrm{v}}_{\mathrm{mp}}=$ most probable velocity.
${\mathrm{v}}_{\mathrm{av}}=$ average velocity.
$v_{\mathrm{rms}}=$ root mean square velocity.

Which of the following facts regarding an ideal gas is/are correct?