D. C. Pandey Solutions for Chapter: Thermometry, Thermal Expansion and Kinetic Theory of Gases, Exercise 3: INTRODUCTORY EXERCISE 20.3

A vessel contains a mixture of $7 \mathrm{g}$ of nitrogen and $11 \mathrm{g}$ of carbon dioxide at temperature $T=290 \mathrm{K}$. If the pressure of the mixture is $1 \mathrm{atm}\left(=1.01\times {10}^5 \mathrm{N} {\mathrm{m}}^{-2}\right)$, calculate its density $(R=8.31 \mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1})$

An electric bulb of the volume $250 {\mathrm{cm}}^3$ was sealed off during manufacture at a pressure of ${10}^{-3} \mathrm{mm}$ of mercury at $27 °\mathrm{C}$. Compute the number of air molecules contained in the bulb. Given that $R=8.31 \mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1}$ and $N_{\mathrm{A}}=6.02\times {10}^{23} \mathrm{per} \mathrm{mol}$.

State whether $p_1>p_2$ or $p_2>p_1$ for given mass of a gas?

For a given mass of gas what is the shape of $p$ versus $\frac{1}{V}$ graph at constant temperature?

For a given mass of a gas, what is the shape of $pV$ versus $T$ graph in the isothermal process?

A gas mixture consists of $2$ moles of oxygen and $4$ moles of argon at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system is

The average translational kinetic energy of ${\mathrm{O}}_2$ (molar mass $32$) molecules at a particular temperature is $0.048 \mathrm{eV}$. The translational kinetic energy of ${\mathrm{N}}_2$ (molar mass $28$) molecules in $\mathrm{eV}$ at the same temperature is