The kinetic energy of $4 \ mol$ of $N_2$ gas at $127 \ ^oC$ is ............. $cal$.

If the average kinetic energy $(K.E.)$ of $CO_2$ at $27\,^oC$ is $E$,what is the average kinetic energy of $N_2$ at the same temperature?

At what temperature $T$ will the kinetic energy of $0.3 \ mol$ of $He$ be equal to the kinetic energy of $0.4 \ mol$ of $Ar$ at $400 \ K$ (in $K$)?

The average kinetic energy of one molecule of an ideal gas at $27^{\circ} C$ and $1 \ atm$ pressure is

Assertion $(A)$ At $300 \ K$, kinetic energy of $16 \ g$ of methane is equal to the kinetic energy of $32 \ g$ of oxygen.
Reason $(R)$ At constant temperature, kinetic energy of one mole of all gases is equal.

The mass of molecule $A$ is half the mass of molecule $B$. The $rms$ speed of $A$ is twice the $rms$ speed of $B$. If two samples of $A$ and $B$ contain the same number of molecules and are taken in two separate containers of equal volume,what will be the ratio of the pressure of $A$ to the pressure of $B$ $(P_A/P_B)$?