The correct value of the universal gas constant $R$ is:

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

$A$ tube of length $1 \, m$ has identical pinholes at both ends. Ammonia gas at $1 \, atm$ pressure is introduced from one end,and $HCl$ gas at $P \, atm$ pressure is introduced from the other end at room temperature. If $NH_4Cl$ is formed at a distance of $60 \, cm$ from the end where $HCl$ was introduced,calculate the value of pressure $P$. (in $, atm$)

If $1 \ g$ of $CH_4$ gas effuses through a fine hole in $100 \ s$,how many grams of $SO_2$ gas will effuse in $100 \ s$ under the same conditions of temperature and pressure?

Which of the following sets consists of gases with the same rate of diffusion?

$\frac{1}{24.63}$ 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 ...... $J$.