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

If the intermolecular forces vanish away, the volume occupied by the molecules contained in $4.5\mathrm{kg}$. water at standard temperature and pressure will be given by:

In a process the density of a gas remains constant. If the temperature is doubled, then the change in the pressure will be:

Two identical glass bulbs are interconnected by a thin glass tube at $0°\mathrm{C}$. A gas is filled at N.T.P. in these bulb is placed in ice and another bulb is placed in hot bath, then the pressure of the gas becomes $1.5$ times. The temperature of hot bath will be:

As shown, a piston chamber of cross-section area $A$ is filled with an ideal gas. A sealed piston of mass $m$ is right at the middle height of the cylinder at equilibrium. The friction force between the chamber wall and the piston can be ignored. The mass of the rest of the chamber is $M$. The atmosphere pressure is $P_0$. Now slowly pull the piston upwards, find the maximum value of $M$ such that the chamber can be lifted off the ground. The temperature remains unchanged.

A gas has volume $V$ and pressure $p$. The total translational kinetic energy of all the molecules of the gas is

${10}^{23}$ molecules of a gas strike a target of area $1 {\mathrm{m}}^2$ at angle $45°$ to normal and rebound elastically with speed $1 \mathrm{km} {\mathrm{s}}^{-1}$. The impulse normal to wall per molecule is: [Given: mass of molecule $=3.32\times {10}^{-27} \mathrm{kg}$]

The density in grams per litre of ethylene $\left(C_2{H}_4\right)$ at STP is

$5n$, $n$ and $5n$ moles of monatomic, diatomic and non-linear polyatomic gases (which do not react chemically with each other), respectively, are mixed at room temperature. The equivalent degree of freedom of the mixture is