NCERT Solutions for Chapter: Kinetic Theory, Exercise 3: VSA

Calculate the number of atoms in $39.4$ gold. Molar mass of gold is $197 g mol{e}^{-1}$

The volume of a given mass of a gas at $27°\text{C}, 1 \text{atm} is 100\text{ cc}$. What will be its volume at $327°\text{C}$?

The molecules of a given mass of a gas have root mean square speeds of $100 \mathrm{m} {\mathrm{s}}^{-1}$ $\text{at }{27}^{°}\mathrm{C}$ and $1.00$ atmospheric pressure. What will be the root mean square speeds of the molecules of the gas at $127° C$ and $2.0$ atmospheric pressure?

Two molecules of a gas have speeds of $9\times {10}^6 \mathrm{m} {\mathrm{s}}^{-1 }\text{and }1\times {10}^6 \mathrm{m} {\mathrm{s}}^{-1 }$, respectively. What is the RMS speed of these molecules? 

A gas mixture consists of $2$ moles of oxygen and $4$ moles of neon at temperature T. Neglecting all vibrational modes, calculate the total internal energy of the system. (Oxygen has two rotational modes.)

Calculate the ratio of the mean free paths of the molecules of two gases having molecular diameters $1\text{A} and 2\text{A}$. The gases may be considered under identical conditions of temperature, pressure and volume.