At $STP$,$0.50 \ mol$ $H_2$ gas and $1.0 \ mol$ $He$ gas:

$60 \ cm^3$ 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

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

Identify the correct statements from the following:
$(A)$ The compressibility factor $(Z)$ for an ideal gas is $1$.
$(B)$ Uranium isotopes (${ }^{235}U$ and ${ }^{238}U$) are separated by converting them into $UF_6$ vapours.
$(C)$ Decrease in temperature increases the kinetic energy of gas molecules.

$80 \ mL$ of $O_2$ takes $2 \ minute$ to pass through a hole. What volume of $SO_2$ will pass through the same hole in $3 \ minute$?

For a liquid,the normal boiling point is $-173\,^{\circ}C$. At $2\ atm$ pressure,its boiling point should be nearly ......... $^{\circ}C$. (Given: $\Delta H_{vap} = 200\ cal/mol$,$R = 2\ cal/mol\cdot K$,$\ln 2 = 0.7$)