M K Verma Solutions for Chapter: States of Matter, Exercise 1: TOPICWISE QUESTIONS

$10$ moles of an ideal gas is present in a closed container at a pressure of $0.821 \mathrm{atm}$. Which of the following is a correct graphical representation of it? 

A mixture of $50 \mathrm{mL}$ of ${\mathrm{H}}_2 \mathrm{and} 50 \mathrm{mL} \mathrm{of} {\mathrm{O}}_2$ is allowed to effuse through a small hole till the residual gas occupies $90 \mathrm{mL}$. The volume of the residual ${\mathrm{H}}_2$ gas is: 

Which of the following quantities is the same for all ideal gases at the same temperature?

(a) Kinetic energy of $1 \mathrm{mol}$.

(b) Kinetic energy of $1 \mathrm{gram}$.

(c) Number of molecules in $1 \mathrm{mol}$.

(d) The kinetic energy of $1 \mathrm{molecule}$.

The average velocity of gas $\mathrm{A}$ is equal to the root-mean-square velocity of the gas $\mathrm{B}$ at the temperature of $\mathrm{T}$. The average velocity of '$\mathrm{A}$' can be made equal to the average velocity of '$\mathrm{B}$' if:

Three gases $\mathrm{x}$, $\mathrm{y}$ and $\mathrm{z}$ have Van der Waal's constants '$\mathrm{a}$' equal to $2.0$, $32$ and $1.5$, respectively, whereas '$\mathrm{b}$' is the same for them. If $\mathrm{x}$, $\mathrm{y}$ and $\mathrm{z}$ are kept separately in three different vessels of equal volume at identical temperatures, the observed pressures are ${\mathrm{P}}_1$_, ${\mathrm{P}}_2$ and ${\mathrm{P}}_3$, respectively. On the basis of this data, choose the correct order/statement.

(a) ${\mathrm{P}}_2<{\mathrm{P}}_1<{\mathrm{P}}_3$

(b) ${\mathrm{P}}_2>{\mathrm{P}}_1>{\mathrm{P}}_3$

(c) In $\mathrm{Z}$ vs $\mathrm{P}$ graph, depression for $\mathrm{y}$ is maximum.

(d) In $\mathrm{Z}$ vs $\mathrm{P}$ graph, depression for $\mathrm{y}$ is minimum.

Under which of the following set of conditions, gases liquefy most easily?

(a) Low temperature.

(b) High pressure.

(c) High temperature.

(d) Low root-mean-square velocity.

Dipole-dipole forces act between the molecules possessing the permanent dipole. Ends of these dipoles possess 'partial charges'. The partial charge is: 

A vessel of volume $1 \mathrm{L}$ contains $1 \mathrm{mole}$ of nitrogen gas at a temperature $12.18 \mathrm{K}$. The pressure of the gaseous mixture, when $50\%$ of the molecules are dissociated into nitrogen atoms at the same temperature, is