If the rate of diffusion of a gas having twice the molecular mass of nitrogen is $56 \ mL \ s^{-1}$,then the rate of diffusion of nitrogen will be ........... $mL \ s^{-1}$.

When equal volumes of helium and neon at same temperature and pressure are mixed,the ratio $C_p: C_V$ of the mixture equals

The combination of plots which do not represent isothermal expansion of an ideal gas is

$CH_4$ diffuses two times faster than a gas $X$. The number of molecules present in $32 \ g$ of gas $X$ is ($N$ is Avogadro number).

Equal masses of $CH_4$ and $H_2$ are mixed in an empty container at $25\,^oC$. The fraction of the total pressure exerted by methane is

$\frac{1}{24.63}$ mole of an ideal mono-atomic gas undergoes a reversible process for which $PV^3 = C$,where $C$ $(L^2 \cdot atm)$ is a constant. The gas expands from an initial volume of $1 \ L$ and an initial temperature of $300 \ K$ to a final volume of $2 \ L$. The heat lost to the surroundings by the gas is ...... $J$.