Explain the kinetic energy,average translational kinetic energy,and root mean square speed of gas molecules.

(N/A) $1$. Kinetic Energy: The total kinetic energy of a gas is the sum of the kinetic energies of all its individual molecules. For an ideal gas,it is given by $E_k = \frac{3}{2} nRT$.
$2$. Average Translational Kinetic Energy: This is the average kinetic energy per mole of gas molecules,given by $E_{avg} = \frac{3}{2} RT$. For a single molecule,it is $\frac{3}{2} kT$,where $k$ is the Boltzmann constant.
$3$. Root Mean Square Speed $(u_{rms})$: It is defined as the square root of the mean of the squares of the speeds of different molecules of a gas. It is given by the formula $u_{rms} = \sqrt{\frac{3RT}{M}}$,where $R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molar mass of the gas.