$60 \ cm^3$ of $SO_2$ gas diffused through a porous membrane in '$x$' min. Under similar conditions $360 \ cm^3$ of another gas (molar mass $4 \ g \ mol^{-1}$) diffused in '$y$' min. The ratio of $x$ and $y$ is

Two flasks $I$ and $II$ shown below are connected by a valve of negligible volume. When the valve is opened,the final pressure of the system in bar is $x \times 10^{-2}$. The value of $x$ is $.....$ . (Integer answer) [Assume-Ideal gas; $1 \, bar = 10^{5} \, Pa$; Molar mass of $N_{2} = 28.0 \, g \, mol^{-1}$; $R = 8.31 \, J \, mol^{-1} \, K^{-1}$]

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

Mixing of two different ideal gases under isothermal reversible conditions will lead to:

Three layers of liquid are flowing over a fixed solid surface as shown below. The correct order of velocity of the liquid in these layers is:

At $STP$,what is the actual volume occupied by the molecules of $1 \, \text{mol}$ of water vapor (i.e.,$\text{Avogadro's number} \times \text{volume of one molecule}$)?