Embibe Experts Solutions for Exercise 3: Assignment

The $rms$ speed of the molecules of enclosed gas is $v.$ What will be the$rms$ speed if pressure is doubled keeping the temperature the same?

A mixture of ideal gas has $2$ moles of $\mathrm{He}$, $4$ moles of ${\mathrm{O}}_2$ and $1$ mole of ${\mathrm{O}}_3$ at absolute temperature $T.$ The internal energy of the mixture is

$E_O$ and $E_H$ respectively represents the average kinetic energy of a molecule of oxygen and hydrogen. If the two gases are at the same temperature, which of the following statement is true?

$14 \mathrm{g}$ of $\mathrm{CO}$ at $27°\mathrm{C}$ is mixed with $16 \mathrm{g}$ of ${\mathrm{O}}_2$ at $47°\mathrm{C}.$ The temperature of mixture is (vibration mode neglected)

When one mole of monatomic gas is mixed with one mole of a diatomic gas, then the equivalent value of $\gamma$ for the mixture will be (vibration mode neglected)

A box of negligible mass containing $2$ moles of an ideal gas of molar mass $M$ and adiabatic exponent $\gamma$ moves with constant speed $v$ on a smooth horizontal surface. If the box suddenly stops, then change in temperature of gas will be

On increasing number density for a gas in a vessel, mean free path of a gas

One mole of ideal gas follows a law according to that its pressure varies with volume as $P=\frac{a}{1+\frac{V}{b}}$ (where $a$ and $b$ are positive constant). The temperature of gas at volume $V=a$ is