Embibe Experts Solutions for Chapter: States of Matter: Gases and Liquids, Exercise 3: Level 3

The ratio of the root-mean-square velocity of hydrogen at $50 \mathrm{K}$ to that of nitrogen at $500 \mathrm{K}$ is the closest to:

The kinetic energy of $\mathrm{N}$ molecules of ${\mathrm{O}}_2$ is $\mathrm{x}$ $\mathrm{Joule}$ at $-123°\mathrm{C}$. Another sample of ${\mathrm{O}}_2$ at $27°\mathrm{C}$ has a kinetic energy of $2\mathrm{x}$. The latter sample contains _____ molecules of ${\mathrm{O}}_2$.

If a gas is allowed to expand at constant temperature then which of the following is true:

A real gas obeying Vander Waal's equation will resemble ideal gas, if the :

For the non-zero values of force of attraction between gas molecules, gas equation will be:

Compressibility factor for ${\mathrm{H}}_2$ behaving as real gas is:

At low pressures (For $1$ mole), the Van der Waal's equation is written as

$\left[\mathrm{p}+\frac{\mathrm{a}}{{\mathrm{V}}^2}\right]\mathrm{V}=\mathrm{RT}$.

The compressibility factor is then equal to:

Calculate the radius of $\mathrm{He}$ atoms if its Van der Waals constant ${}^{\text{'}}\mathrm{b}^{\text{'}}$ is $24 \mathrm{mL} {\mathrm{mol}}^{-1}$. (Note $1 \mathrm{mL}=1$ $\mathrm{cubic} \mathrm{centimetre}$)