In a vessel,the gas is at pressure $P_0$. If the mass of all the molecules is halved and their speed is doubled,then the resultant pressure will be

If the average translational kinetic energy of a molecule in a gas is equal to the kinetic energy of an electron accelerating from rest through $10 \,V$, then the temperature of the gas molecule is (Boltzmann constant $= 1.38 \times 10^{-23} \,JK^{-1}$)

At $27^{\circ} C$ temperature,the mean kinetic energy of the atoms of an ideal gas is $E_1$. If the temperature is increased to $327^{\circ} C$,then the mean kinetic energy of the atoms will be

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

$A$ vessel contains a mixture of hydrogen and oxygen gases in the ratio of their masses equal to $1: 5$. The ratio of mean kinetic energies of the two gases is

In an ideal gas at temperature $T$,the average force that a molecule applies on the walls of a closed container depends on $T$ as $T^{x}$. The value of $x$ is