Find the kinetic energy of $1 \ g$ of nitrogen at $77^{\circ} \ C$. $(R = 8.31 \ J \ mol^{-1} K^{-1})$ (in $J$)

$A$ $1 \, kg$ diatomic gas is at a pressure of $8 \times 10^4 \, N/m^2$. The density of the gas is $4 \, kg/m^3$. What is the energy of the gas due to its thermal motion?

Two gases $A$ and $B$ are at absolute temperatures $350 \ K$ and $420 \ K$ respectively. The ratio of average kinetic energy of the molecules of gas $B$ to that of gas $A$ is

At what temperature does the average translational kinetic energy of a molecule in a gas become equal to the kinetic energy of an electron accelerated from rest through a potential difference of $V$ volt? ($N=$ Avogadro number,$R=$ gas constant,$e=$ electronic charge)

An ideal gas is kept in a cylinder of volume $3 \,m^3$ at a pressure of $3 \times 10^5 \,Pa$. The energy of the gas is

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 $.... \times 10^{11}$.