Consider a sample of oxygen behaving like an ideal gas. At $300 \,K ,$ the ratio of root mean square (rms) velocity to the average velocity of gas molecule would be :
(Molecular weight of oxygen is $32 \,g / mol$ $\left. R =8.3 \,J K ^{-1} mol ^{-1}\right)$
$\frac{ v _{ rms }}{ v _{ avg }}=\sqrt{\frac{3 \pi}{8}}$
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In the isothermal expansion of $10\,g$ of gas from volume $V$ to $2V$ the work done by the gas is $575\,J$. What is the root mean square speed of the molecules of the gas at that temperature ..... $m/s$?
A flask is filled with $13\, gm$ of an ideal gas at ${27}^o C$ and its temperature is raised to ${52}^o C$. The mass of the gas that has to be released to maintain the temperature of the gas in the flask at ${52}^o C$ and the pressure remaining the same is ..... $g$
The temperature of a gas is $-78^{\circ} \mathrm{C}$ and the average translational kinetic energy of its molecules is $\mathrm{K}$. The temperature at which the average translational kinetic energy of the molecules of the same gas becomes $2 \mathrm{~K}$ is :
A container $X$ has volume double that of contianer $Y$ and both are connected by a thin tube. Both contains same ideal gas. The temperature of $X$ is $200\,\,K$ and that of $Y$ is $400\,\,K$. If mass of gas in $X$ is $m$ then in $Y$ it will be:
One mole of an ideal gas requires $207\, J$ heat to raise the temperature by $10 \,K$ when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same $10\, K,$ the heat required is ...... $J$
(Given the gas constant $R = 8.3J/mol{\rm{ - }}K$)
The figure shows the volume $V$ versus temperature $T$ graphs for a certain mass of a perfect gas at two constant pressures of ${P_1}$ and ${P_2}$. What interference can you draw from the graphs