The pressure of a gas is $6 \times 10^4 \ N/m^2$. What will be the kinetic energy per unit volume of the gas molecules?

If the kinetic energy of a helium atom at temperature $T$ is $E$,then the Avogadro constant $N_A$ is given by:

In the case of hydrogen and oxygen at $N.T.P.$,which of the following quantities is/are the same?

Estimate the average thermal energy of a helium atom at:
$(i)$ room temperature $(27^{\circ} C)$,
$(ii)$ the temperature on the surface of the Sun $(6000\; K)$,
$(iii)$ the temperature of $10$ million kelvin (the typical core temperature in the case of a star).

If $E$ is the kinetic energy per mole of an ideal gas and $T$ is the absolute temperature,then the universal gas constant is given as

$A$ flask contains hydrogen and oxygen in the ratio of $2: 1$ by mass at temperature $27^{\circ} C$. The ratio of average kinetic energy per molecule of hydrogen and oxygen respectively is: