Embibe Experts Solutions for Chapter: Behaviour of Perfect Gas and Kinetic Theory, Exercise 3: Level 3

$16 \mathrm{g}$ of Oxygen, $14 \mathrm{g}$ of Nitrogen and $11 \mathrm{g}$ of Carbon dioxide are mixed in an enclosure of volume $5 \mathrm{L}$ and temperature $27 °\mathrm{C}$. The pressure exerted by the mixture is,

The wrong statement according to the kinetic theory of gases for ideal gas is

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

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

Two balloons are filled; one with pure $\mathrm{He}$ gas and the other with air, respectively. If the pressure and temperature of these balloons are the same, then the number of molecules per unit volume is

Calculate the value of the mean free path $\left(\lambda \right)$ for oxygen molecules at temperature $27°\mathrm{C}$ and pressure $1.01\times {10}^5 \mathrm{Pa}$. Assume the molecular diameter $0.3 \mathrm{nm}$ and the gas is ideal. $\left(k=1.38\times {10}^{-23} \mathrm{J} {\mathrm{K}}^{-1}\right)$

At constant temperature, the pressure of a gas is decreased by $20\%$. The percentage change in the volume

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