If the $rms$ speed of a gas is $v_{rms} = 1840 \ m/s$ and its density is $\rho = 8.99 \times 10^{-2} \ kg/m^3$,then the pressure of the gas will be .........

The average kinetic energy of thermal neutrons is of the order of (Boltzmann's constant $K_B = 8 \times 10^{-5} \text{ eV/K}$ and room temperature $T \approx 300 \text{ K}$)

$Assertion$: The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and its volume.
$Reason$: The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.

The total random kinetic energy of $1 \,g$ of helium at $100 \,K$ will be $\left(R=8.3 \,J \,mol^{-1} \,K^{-1}\right)$. (in $\,J$)

For a gas at a particular temperature on an average,the quantity which remains same for all molecules is

The temperature of a gas is $-68^\circ C$. At what temperature in $^\circ C$ will the average kinetic energy of its molecules be twice that of at $-68^\circ C$?