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?

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)

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

$14 \mathrm{g}$ 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)

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

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