Embibe Experts Solutions for Chapter: Kinetic Theory of Gases, Exercise 1: KEAM 2020

Three moles of an ideal gas are in a rigid cubical box with sides of length $0.170\mathrm{m}$. The ratio of the forces that the gas exerts on each of the six sides of the box when the gas temperature are $27°\mathrm{C}$ and $127°\mathrm{C}$ is.

Inside the engine of an automobile, the cylinder compresses the air from approximately standard temperature and pressure to one-twentieth of the original volume and a pressure of $50 \mathrm{atm}.$ What is the temperature of the compressed air ?

A cylinder closed at both ends is separated into two equal parts ($45 \mathrm{cm}$ each) by a piston impermeable to heat. Both the parts contain the same masses of gas at a temperature of $300 \mathrm{K}$ and a pressure of $1\mathrm{ }\mathrm{atm}$. If now the gas in one of the parts is heated such that the piston shifts by $5 \mathrm{cm}$, then the temperature and the pressure of the gas in this part after heating is 

Some smoke is trapped in a small glass container and is viewed through a microscope. A number of very small smoke particles are seen in continuous random motion as a result of their bombardment by air molecules. If the mass of the smoke particle is about ${10}^{12}$ times higher than that of an air molecule the average speed of a smoke particle is

The average kinetic energy of a monoatomic gas molecule kept at temperature $27°\mathrm{C}$ is (Boltzmann constant $\mathrm{k}=1.3\times {10}^{-23}{\mathrm{JK}}^{-1})$

The temperature of an ideal gas is increased from $100 \mathrm{K}$ to $400 \mathrm{K}$ . If the $rms$ speed of the gas molecule is $V$ at $100 \mathrm{K}$ , then at $400 \mathrm{K}$ it becomes