Embibe Experts Solutions for Chapter: Kinetic Theory of Gases, Exercise 3: Level 3

A container is divided into two chambers by a partition. The volume of first chamber is $4.5$ litre and second chamber is $5.5$ litre. The first chamber contain $3.0$ moles of gas at pressure $2.0$ atm and second chamber contain $4.0$ moles of gas at pressure $3.0$ atm. After the partition is removed and the mixture attains equilibrium, then, the common equilibrium pressure existing in the mixture is $x\times {10}^{-1}$ atm. Value of $x$ is

A vessel is filled with $0.014 \mathrm{kg}$ Nitrogen gas at a temperature of $27°\mathrm{C}$. Let the ${\nu }_{\mathrm{rms}}$ at this temperature be $V$; then at what temperature in Kelvin, the ${\nu }_{\mathrm{rms}}$ of this gas will be $2V$?

A gas at $27 °\mathrm{C}$ temperature and $30 atm$ pressure is allowed to expand to the atmospheric pressure. If the volume becomes $10$ times its initial volume, then the final temperature becomes

At constant temperature on increasing the pressure of a gas by $5 \%$ its volume will decrease by

Three perfect gases at absolute temperature $T_1, T_2$ and $T_3$ are mixed. The masses of molecules are $m_1$, $m_2$ and $m_3$ and the number of molecules are $n_1, n_2$ and $n_3$, respectively. Assuming no loss of energy, the final temperature of the mixture is

The gases Carbon monoxide and Nitrogen at the same temperature have kinetic energies $E_1$ and $E_2$, respectively. Then,

${\mathrm{H}}_2, {\mathrm{O}}_2, {\mathrm{N}}_2$ and $\mathrm{He}$ are enclosed in identical containers under the similar conditions of pressure and temperature. The gases will have

The temperature, at which kinetic energy of a gas is doubled of its value at N.T.P., is