If the temperature of a gas increases from $27^{\circ}C$ to $927^{\circ}C$,the $K.E.$ will be

The average kinetic energy of a gas molecule at $27^oC$ is $6.21 \times 10^{-21} \, J$. Its average kinetic energy at $227^oC$ will be

The kinetic energy of an ideal gas is $E_0$ at $27^\circ$$C$. When the temperature is increased to $177^\circ$$C$, then the kinetic energy will be

$A$ box contains $N$ molecules at temperature $T_1$ and pressure $P_1$. If the number of molecules in the box is doubled but their total kinetic energy remains unchanged,what are the new pressure $P_2$ and temperature $T_2$?

The number of molecules in one litre of an ideal gas at $300 \, K$ and $2$ atmospheric pressure with mean kinetic energy $2 \times 10^{-9} \, J$ per molecule is $.... \times 10^{11}$.

$A$ parallel beam of particles of mass $m$ moving with velocity $v$ impinges on a wall at an angle $\theta$ to its normal. The number of particles per unit volume in the beam is $n$. If the collision of particles with the wall is elastic,then the pressure exerted by this beam on the wall is