$1\, kg$ of a 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 ?

The root mean-square speed $(rms)$ of oxygen molecules $(O_2)$ at a certain absolute temperature is $\upsilon $ . If the temperature is doubled and the oxygen gas dissociates into atomic oxygen, the $rms$ speed would be

Two gases$A$ and $B$ are contained in the same vessel which is at temperature $T$. The number of molecular of gas $A$ is $N$ and mass of each molecule is $m$. The number of molecules of gas $B$ is $2\ N$ and mass of its each molecules is $2\ m$. If mean square velocity of $x$ of gas $B$ is $v^2$ and mean square velocity of $x$ component of velocity of molecules of gas $A$ is $u_x^2$ then ${{u_x^2}}/{{{v^2}}}$  is

A pressure $P-$ absolute temperature $T$ diagram was obtained when a given mass of gas was heated. During the heating process form the state $1$ to state $2$ the volume

The curve between absolute temperature and $v_{rms}^2$ is