Questions in Kinetic Theory of Gases

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A cylinder of capacity 20 litres is filled with ${{H}_{2}}$ gas. The total average kinetic energy of translatory motion of its molecules is $1.5\times {{10}^{5}}\,J$. The pressure of hydrogen in the cylinder is
The root mean square speed of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0°C is 3180 metres/second. The pressure on the hydrogen gas is (Density of hydrogen gas is $8.99\times {{10}^{-2}}\,kg/{{m}^{3}}$, 1 atmosphere $=1.01\times {{10}^{5}}\,N/{{m}^{2}})$
At a given temperature, the pressure of an ideal gas of density $\rho $ is proportional to
Consider a gas with density $\rho $ and $\bar{c}$ as the root mean square velocity of its molecules contained in a volume. If the system moves as whole with velocity v, then the pressure exerted by the gas is
In kinetic theory of gases, a molecule of mass $m$ of an ideal gas collides with a wall of vessel with velocity $V$. The change in the linear momentum of the molecule is
If the mean free path of atoms is doubled then the pressure of gas will become
Relationship between $P,V,$ and $E$ for a gas is
The value of universal gas constant is 8.3 J/mole/K, the mean kinetic energy of 32 gm of oxygen at – 73°C will be
For a diatomic gas change in internal energy for unit change in temperature for constant pressure and constant volume is ${{U}_{1}}$ and ${{U}_{2}}$ respectively. ${{U}_{1}}:{{U}_{2}}$ is
If number of molecules of ${{H}_{2}}$ are double than that of ${{O}_{2}}$, then ratio of kinetic energy of hydrogen and that of oxygen at 300 K is

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