Embibe Experts Solutions for Chapter: States of Matter: Gases and Liquids, Exercise 1: Level 1

With regard to the gaseous state of matter, which of the following statements are correct?

The mass of the molecule $\mathrm{A}$ is twice that of the molecule $\mathrm{B}$. The root-mean-square velocity of the molecule $\mathrm{A}$ is twice that of the molecule $\mathrm{B}$. If two containers of equal volumes have the same number of molecules, the ratio of the pressures ${\mathrm{P}}_{\mathrm{A}}/{\mathrm{P}}_{\mathrm{B}}$ will be

The average kinetic energy(in joules of) molecules in $8.0 \mathrm{g}$ of methane at $27°\mathrm{C}$ is :

The values of Van der Waals constant, ${}^{\text{'}\text{'}}\mathrm{a}^{\text{'}\text{'}}$, for the gases ${\mathrm{O}}_2, {\mathrm{N}}_2, {\mathrm{NH}}_3 \& {\mathrm{CH}}_4$ are $1.36, 1.39, 4.17, 2.253 {\mathrm{L}}^2 \mathrm{atm} {\mathrm{mole}}^{-2}$, respectively. The gas which can most easily be liquefied is:

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:

One mole, each of the two gases $\mathrm{X}$ and $\mathrm{Y}$, are stored separately in two cylinders at $25°\mathrm{C}$ at pressures $1 \mathrm{atm}$ and $2 \mathrm{atm}$, respectively. The difference in the compressibilities of the two gases, $\left({\mathrm{k}}_{\mathrm{x}}-{\mathrm{k}}_{\mathrm{y}}\right)$, is:

If the RMS speed of the ${\mathrm{NH}}_3$ molecule is found to be $0.51 \mathrm{km}/\mathrm{s}$, what is the temperature (in Kelvin)? $\left(\mathrm{R}=8.314 \mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1}\right)$

Round off your answer up to two places of decimals.