Ice and water are placed in a closed container at a pressure of $1 \ atm$ and temperature $273.15 \ K$. If the pressure of the system is increased $2$ times,keeping the temperature constant,then identify the correct observation from the following:

If $4 \ g$ of oxygen diffuses through a fine hole,how many grams of hydrogen will diffuse under the same conditions?

Equal amounts of two gases of molecular weight $4$ and $40$ are mixed. The pressure of the mixture is $1.1 \, atm$. The partial pressure of the light gas in this mixture is ........... $atm$.

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.

If $4 \ g$ of oxygen diffuses through a narrow hole under identical conditions,how many grams of hydrogen will diffuse?

At $290 \ K$,a vessel $(I)$ contains equal moles of three liquids $(A, B, C)$. The boiling points of $A, B$ and $C$ are $350 \ K, 373 \ K$ and $308 \ K$ respectively. Vessel $(I)$ is heated to $300 \ K$ and vapours were collected into vessel $(II)$. Identify the correct statements. (Assume vessel $(I)$ contains liquids and vapours and vessel $(II)$ contains only vapours)
$I.$ Vessel $- I$ is rich in liquid $B$
$II.$ Vessel $- II$ is rich in vapour of $C$
$III.$ The vapour pressures of $A, B, C$ in Vessel $(I)$ at $290 \ K$ follows the order $C > A > B$.